Properties of the Number 37352

Thirty-Seven Thousand Three Hundred Fifty-Two

Basics

Value: 37351 → 37352 → 37353

Parity: even

Prime: No

Previous Prime: 37339

Next Prime: 37357

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 × 23 × 29

Divisors: 1, 2, 4, 7, 8, 14, 23, 28, 29, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000111101000

Octal: 110750

Duodecimal: 19748

Hexadecimal: 91e8

Square: 1395171904

Square Root: 193.26665516844855

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 of even length whose greatest multiplicity is at most half their length. A338914

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234658

Number of n X 3 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A207118

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234652

Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234654

Members of a pair (m,n) such that σ(m) = σ(n) = σ(n-m), m < n where σ = A000203. A239939

T(n,k) is 1/(k-1)! times the n-th derivative of the difference between the k-th tetration of x (power tower of order k) and its predecessor at x=1; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A298605

Numbers whose base-4 and base-5 expansions have no digits in common. A37352

G.f. satisfies: x = A(x) - A(A(x))² - A(A(A(x)))². A177397