Properties of the Number 37514

Thirty-Seven Thousand Five Hundred Fourteen

Basics

Value: 37513 → 37514 → 37515

Parity: even

Prime: No

Previous Prime: 37511

Next Prime: 37517

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 18757

Divisors: 1, 2, 18757, 37514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010001010

Octal: 111212

Duodecimal: 19862

Hexadecimal: 928a

Square: 1407300196

Square Root: 193.68531178176625

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

Let a(n) be the least k such that in the prime power factorization of k! the exponents of primes p₁, ...,p_n are even, while the exponent of p_n+1 is odd. A240537

a(n) is the smallest k such that in the prime power factorization of k! at least the first n positive exponents are even. A240620

Number of compositions (ordered partitions) of n into tetrahedral (or triangular pyramidal) numbers (A000292). A282582

a(n) = ∑_{p∣n, p prime} p^sopf(n/p). A369912

Numbers k such that the last 9 digits of the k-th Lucas number are 1-9 pandigital. A216488

Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1. A37514

Number of (1+2) X (n+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards. A234055