Properties of the Number 3957

Three Thousand Nine Hundred Fifty-Seven

Basics

Value: 3956 → 3957 → 3958

Parity: odd

Prime: No

Previous Prime: 3947

Next Prime: 3967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1319

Divisors: 1, 3, 1319, 3957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101110101

Octal: 7565

Duodecimal: 2359

Hexadecimal: f75

Square: 15657849

Square Root: 62.90468980926621

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 n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951). A1522

Numbers k such that k, k+1 and k+2 are products of two primes. A56809

G.f. satisfies: A(x) = 1 + x/A(-x·A(x)⁶)³. A213096

Powers of cube root of 12 rounded up. A18011

Pinwheel numbers: a(n) = 2·n² + 6·n + 1. A59993

Number of ways to split an integer partition of n into consecutive subsequences of equal length. A323433

Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p·q where p and q are distinct primes. A39833

Number of integer partitions y of n such that y_i = y_i+1 for all even i. A351003

Square array where the row n lists all numbers k for which A329697(k) = n, read by falling antidiagonals. A334100

T(n,k)=Number of nXk binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. A228796