Properties of the Number 37071

Thirty-Seven Thousand Seventy-One

Basics

Value: 37070 → 37071 → 37072

Parity: odd

Prime: No

Previous Prime: 37061

Next Prime: 37087

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1373

Divisors: 1, 3, 9, 27, 1373, 4119, 12357, 37071

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011001111

Octal: 110317

Duodecimal: 19553

Hexadecimal: 90cf

Square: 1374259041

Square Root: 192.5383078766405

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

Records of minima of A154333, difference of a cube minus the next smaller square. A179386

Concatenation of n, n+1, n+2 divided by 3. A74991

Integers of the form 8k + 7 that can be written as a sum of four distinct squares of the form m, m + 1, m + 3, m + 5, where m == 2 (mod 4). A243580

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A49971

Sprague-Grundy values for octal games .3707 and .37071. A71512

Dimension of the random-to-random subalgebra of the n-th symmetric group algebra. A393539

Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026659. A26669

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 01000-11111-01000 pattern in any orientation. A147020

Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 2,1 3,0 3,1 4,0 4,1 polyhexes in any orientation on a planar nXnXn triangular grid. A155357

Smallest prime containing exactly n 9's. A37071