Properties of the Number 30957

Thirty Thousand Nine Hundred Fifty-Seven

Basics

Value: 30956 → 30957 → 30958

Parity: odd

Prime: No

Previous Prime: 30949

Next Prime: 30971

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 607

Divisors: 1, 3, 17, 51, 607, 1821, 10319, 30957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100011101101

Octal: 74355

Duodecimal: 15AB9

Hexadecimal: 78ed

Square: 958335849

Square Root: 175.946014447614

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 integer partitions of n whose parts do not have choosable sets of integer partitions. A387134

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 or 00000001. A259642

Number of integer compositions of n whose 0-prepended first differences are not all distinct. A389744

Coefficient of xⁿ in the expansion of (1+x+x³)^3·n. A372374

p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = (1 - S)³. A291726

Consecutive states of the linear congruential pseudo-random number generator (421·s + 17117) mod 81000 when started at s=1. A385338

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,3,3,1. A222024

Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 or 00000001. A259637

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 or 00000001. A259641

[ exp(1/9)*n! ]. A30957