Properties of the Number 31968

Thirty-One Thousand Nine Hundred Sixty-Eight

Basics

Value: 31967 → 31968 → 31969

Parity: even

Prime: No

Previous Prime: 31963

Next Prime: 31973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 37

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011100000

Octal: 76340

Duodecimal: 16600

Hexadecimal: 7ce0

Square: 1021953024

Square Root: 178.79597310901607

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216349

Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216350

θ series of direct sum of 4 copies of hexagonal lattice. A8655

Numbers k such that 2k-1 divides 2^k-1. A81856

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

McKay-Thompson series of class 6A for Monster. A7254

Numbers with prime factorization pq^3r^5. A190011

G.f. satisfies: A(x)³ = A(x²)³ + 9·x. A223143

Numbers m such that m*(m-τ(m))/σ(m) is an integer h where k-τ(k) is the number of nondivisors of k (A049820) and σ(k) is the sum of the divisors of k (A000203). A325020

Numbers k such that k/(3·k - σ(k)) is a positive integer. A364977