Properties of the Number 37215

Thirty-Seven Thousand Two Hundred Fifteen

Basics

Value: 37214 → 37215 → 37216

Parity: odd

Prime: No

Previous Prime: 37201

Next Prime: 37217

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 827

Divisors: 1, 3, 5, 9, 15, 45, 827, 2481, 4135, 7443

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000101011111

Octal: 110537

Duodecimal: 19653

Hexadecimal: 915f

Square: 1384956225

Square Root: 192.91189698927332

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

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array. A219627

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u²+v². A345434

Numbers k such that the decimal part of k^1/8 starts with a 'nine digits' anagram. A34283

Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX5 array. A219624

Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 4Xn array. A219630

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 517", based on the 5-celled von Neumann neighborhood. A272732

a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3. A22870

Expansion of ( ∑_k>=0 k·q^k² )³. A37215