Properties of the Number 37642

Thirty-Seven Thousand Six Hundred Forty-Two

Basics

Value: 37641 → 37642 → 37643

Parity: even

Prime: No

Previous Prime: 37633

Next Prime: 37643

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 × 29 × 59

Divisors: 1, 2, 11, 22, 29, 58, 59, 118, 319, 638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001001100001010

Octal: 111412

Duodecimal: 1994A

Hexadecimal: 930a

Square: 1416920164

Square Root: 194.0154633012534

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 integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards. A204039

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254845

At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage. A64412

Number of (n+1)X4 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards. A204034

Number of (n+1)X6 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards. A204036

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254839

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254840

Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1. A37642