Properties of the Number 30996

Thirty Thousand Nine Hundred Ninety-Six

Basics

Value: 30995 → 30996 → 30997

Parity: even

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 × 41

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100010100

Octal: 74424

Duodecimal: 15B30

Hexadecimal: 7914

Square: 960752016

Square Root: 176.0568090134545

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

Number of degree-n permutations of order exactly 4. A1473

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731

Denominators of continued fraction convergents to sqrt(85). A41151

Numbers k such that σ(k+1) divides σ(k), where σ(k) is the sum of positive divisors of k. A58073

Numbers that are the sum of seven fourth powers in exactly seven ways. A345829

Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327801

Number of partitions of n such that (greatest part) + (least part) > number of parts. A237871

Cascadence of (1+2x)²; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0. A120914

G.f. satisfies: A(x) = C(2x)² * A(x³*C(2x)⁴), where C(x) is the g.f. of the Catalan numbers (A000108). A120915

a(n) = 137842·n - 30996. A157105