32,767

30,000 (thirty thousand) is the natural number that comes after 29,999 and before 30,001.

Selected numbers in the range 30001–39999

30001 to 30999

* 30029 = primorial prime
* 30030 = primorial
* 30031 = smallest composite number which is one more than a primorial
* 30203 = safe prime
* 30240 = harmonic divisor number, smallest 4-perfect number
* 30323 = Sophie Germain prime and safe prime
* 30420 = pentagonal pyramidal number
* 30537 = Riordan number
* 30694 = open meandric number
* 30941 = first base 13 repunit prime

31000 to 31999

* 31116 = octahedral number
* 31185 = number of partitions of 39
* 31337 = cousin prime, pronounced ''elite'', an alternate way to spell ''1337'', an obfuscated alphabet made with numbers and punctuation, known and used in the gamer, hacker, and BBS cultures.
* 31395 = square pyramidal number
* 31397 = prime number followed by a record prime gap of 72, the first greater than 52
* 31688 = the number of years approximately equal to 1 trillion seconds
* 31721 = start of a prime quadruplet
* 31929 = Zeisel number

32000 to 32999

* 32043 = smallest number whose square is pandigital.
* 32045 = can be expressed as a sum of two squares in more ways than any smaller number.
* 32760 = harmonic divisor number
* 32761 = 181², centered hexagonal number
* 32767 = 2¹⁵ − 1, largest positive value for a signed (two's complement) 16-bit integer on a computer.
* 32768 = 2¹⁵ = 8⁵ = 32³, maximum absolute value of a negative value for a signed (two's complement) 16-bit integer on a computer.
* 32800 = pentagonal pyramidal number
* 32993 = Leyland prime using 2 & 15 (2¹⁵ + 15²)

33000 to 33999

* 33333 = repdigit
* 33461 = Pell number, Markov number
* 33511 = square pyramidal number
* 33781 = octahedral number

34000 to 34999

* 34560 = 5 superfactorial
* 34790 = number of non-isomorphic set-systems of weight 13.
* 34841 = start of a prime quadruplet
* 34969 = favorite number of the Muppet character Count von Count

35000 to 35999

* 35720 = square pyramidal number
* 35840 = number of ounces in a long ton (2,240 pounds)
* 35890 = tribonacci number
* 35899 = alternating factorial
* 35937 = 33³, chiliagonal number
* 35964 = digit-reassembly number

36000 to 36999

* 36100 = sum of the cubes of the first 19 positive integers
* 36463 – number of parallelogram polyominoes with 14 cells
* 36594 = octahedral number

37000 to 37999

* 37338 = number of partitions of 40
* 37378 = semi-meandric number
* 37634 = third term of the Lucas–Lehmer sequence
* 37666 = Markov number
* 37926 = pentagonal pyramidal number

38000 to 38999

* 38024 = square pyramidal number
* 38209 = n such that n , (3ⁿ + 5)
* 38305 = the largest Forges-compatible number (for index 32) to the field $\mathbb(\sqrt, \sqrt)$. But a conjecture of Viggo Brun predicts that there are infinitely many such numbers for any Galois field $F$ unless $F$ is bad.
* 38416 = 14⁴
* 38501 = 7⁴ + 190²: Friedlander-Iwaniec prime. Smallest prime separated by at least 40 from the nearest primes (38461 and 38543). It is thus an ''isolated prime''. Chen prime.
* 38807 = number of non-equivalent ways of expressing 10,000,000 as the sum of two prime numbers
* 38962 = Kaprekar number

39000 to 39999

* 39299 = Integer connected with coefficients in expansion of Weierstrass P-function
* 39304 = 34³
* 39559 = octahedral number
* 39648 = tetranacci number

Primes

There are 958 prime numbers between 30,000 and 40,000.

References

{{Integers, 10

30000