Properties of the Number 37125

Thirty-Seven Thousand One Hundred Twenty-Five

Basics

Value: 37124 → 37125 → 37126

Parity: odd

Prime: No

Previous Prime: 37123

Next Prime: 37139

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ³ × 11

Divisors: 1, 3, 5, 9, 11, 15, 25, 27, 33, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100000101

Octal: 110405

Duodecimal: 19599

Hexadecimal: 9105

Square: 1378265625

Square Root: 192.67848867997694

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

Odd infinitary abundant numbers. A127666

Odd bi-unitary abundant numbers: odd numbers k such that bsigma(k) > 2·k, where bsigma is the sum of the bi-unitary divisors function (A188999). A293186

Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss. A90056

a(n) = (n+1)²*(n+2)³*(n+3)/24. A108648

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) <= number of parts of p. A241829

Determinant of the n X n matrix whose element (i,j) equals t(|i-j|) where t(n) is the number of divisors of n and t(0) = 0. A71084

Number of ordered set partitions of [n] into nine blocks such that equal-sized blocks are ordered with increasing least elements. A285924

Odd numbers k such that gcd(A276086(σ(k)-k), A276086(k)) is equal to A276086(k), where A276086 is the primorial base exp-function, and σ is the sum of divisors function. A388267

a(n) = ord(2,A006935(n)/2), where ord(k,m) is the multiplicative order of k modulo m. A350084

Odd numbers k such that A162296(k) > 2·k. A357607