Properties of the Number 37956

Thirty-Seven Thousand Nine Hundred Fifty-Six

Basics

Value: 37955 → 37956 → 37957

Parity: even

Prime: No

Previous Prime: 37951

Next Prime: 37957

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3163

Divisors: 1, 2, 3, 4, 6, 12, 3163, 6326, 9489, 12652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001000100

Octal: 112104

Duodecimal: 19B70

Hexadecimal: 9444

Square: 1440657936

Square Root: 194.82299658921173

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

Expansion of ψ(-x³) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A271593

Partial sums of A037276. A287883

Number of ways to partition digits 0-9 into signed terms in decreasing absolute value order with sum n. A389952

Indices of primes in sequence defined by A(0) = 31, A(n) = 10·A(n-1) + 61 for n > 0. A101841

Triangle T(n,r), read by rows, where the r-th column is expansion of A(x)^r, with A(x) = x * (x+1) * (2·x⁴+4·x³-2·x+1) * (x⁴+2·x³-x+1) / (x²+x-1)⁶. A187055

a(n) = binomial(n, floor((n-4)/2)). A37956

Number of zero-sum -n..n arrays of 6 elements with adjacent element differences also in -n..n. A202256