Properties of the Number 37530

Thirty-Seven Thousand Five Hundred Thirty

Basics

Value: 37529 → 37530 → 37531

Parity: even

Prime: No

Previous Prime: 37529

Next Prime: 37537

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 139

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001010011010

Octal: 111232

Duodecimal: 19876

Hexadecimal: 929a

Square: 1408500900

Square Root: 193.72661149155527

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

Numbers n such that n is a substring of its square in base 3 (written in base 10). A18827

Numbers n such that n is a substring of its square in base 9 (written in base 10). A18833

T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally. A201836

Sum of the numbers already killed in the first jump of a Sieve of Eratosthenes table. A179628

The magic constants of most-perfect magic squares of order 6 composed of distinct prime numbers. A258755

Numbers k whose decimal representation, read as a base-12 value and divided by k, yields an integer. A32555

Number of nX2 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally. A201830

p-INVERT of the positive integers, where p(S) = 1 - S - S² - S³ - S⁴. A291030

a(n) = n*((4·n + 1)*(7·n - 4) + 15·n*(-1)ⁿ)/48. A302766

Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LEV = Levyne Ca9[Al18Si36O108].50H2O starting with a T2 atom. A19025