Properties of the Number 37958

Thirty-Seven Thousand Nine Hundred Fifty-Eight

Basics

Value: 37957 → 37958 → 37959

Parity: even

Prime: No

Previous Prime: 37957

Next Prime: 37963

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 18979

Divisors: 1, 2, 18979, 37958

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001000110

Octal: 112106

Duodecimal: 19B72

Hexadecimal: 9446

Square: 1440809764

Square Root: 194.82812938587693

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, read by rows of n*(n+1)/2 terms, where row n equals the coefficients in the series reversion of the function G(x,n)-1 such that: x = ∑_m>=1 1/G(x,n)^n·m * ∏_k=1..m (1 - 1/G(x,n)^k), for n>=1. A214670

Values of z in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138669

Number of -n..n arrays x(0..3) of 4 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing. A200193

G.f. satisfies: x = ∑_n>=1 1/A(x)^6·n * ∏_k=1..n (1 - 1/A(x)^k). A209442

a(n) = binomial(n, floor((n-8)/2)). A37958