Properties of the Number 37122

Thirty-Seven Thousand One Hundred Twenty-Two

Basics

Value: 37121 → 37122 → 37123

Parity: even

Prime: No

Previous Prime: 37117

Next Prime: 37123

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 23 × 269

Divisors: 1, 2, 3, 6, 23, 46, 69, 138, 269, 538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100000010

Octal: 110402

Duodecimal: 19596

Hexadecimal: 9102

Square: 1378042884

Square Root: 192.67070353325644

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

Number of (w,x,y,z) with all terms in {1,...,n} and w > (geometric mean of x,y,z). A212144

Partial sums of A033616. A299902

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= n/3. A47195

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-1)/3. A48007

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-2)/3. A48018

The number of planar partitions of n with adjacent parts differing by no more than 1. A252479

Consider the 2ⁿ⁺¹ polynomials f(x) with coefficients 0 or 1 and degree <= n. Sequence gives triangle read by rows, in which T(n,k) (n>=0) is the number of such polynomials of thickness k (0 <= k <= n+1). A169945

Trajectory of 3 under map n->49n+1 if n odd, n->n/2 if n even. A37122