Properties of the Number 37358

Thirty-Seven Thousand Three Hundred Fifty-Eight

Basics

Value: 37357 → 37358 → 37359

Parity: even

Prime: No

Previous Prime: 37357

Next Prime: 37361

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 18679

Divisors: 1, 2, 18679, 37358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000111101110

Octal: 110756

Duodecimal: 19752

Hexadecimal: 91ee

Square: 1395620164

Square Root: 193.28217714005604

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

Euler transform of A000056. A381679

Sum of orders of all 2 X 2 matrices with entries mod n. A6045

Number of cubic equations ax³ + bx² + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having one real root and two conjugate complex roots. A155193

Demi-tribonacci numbers (rounding down): a(0)=a(1)=0, a(2)=2; a(n) = floor( (a(n-1)+a(n-2)+a(n-3))/2 ). A180234

Erroneous version of A006045 (I think!). A48690

Number of nondecreasing -n..n vectors of length 6 whose dot product with some nonincreasing -n..n vector equals 6. A226403

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n. A226398

Numbers whose base-5 and base-6 expansions have no digits in common. A37358

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252429