Properties of the Number 36732

Thirty-Six Thousand Seven Hundred Thirty-Two

Basics

Value: 36731 → 36732 → 36733

Parity: even

Prime: No

Previous Prime: 36721

Next Prime: 36739

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3061

Divisors: 1, 2, 3, 4, 6, 12, 3061, 6122, 9183, 12244

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111101111100

Octal: 107574

Duodecimal: 19310

Hexadecimal: 8f7c

Square: 1349239824

Square Root: 191.65594172892213

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 positive solutions to x²+y²+z² <= n². A253663

Decimal part of a(n)^1/3 starts with a 'nine digits' anagram. A34278

Numbers k such that k⁴ + 1, (k+2)⁴ + 1 and (k+4)⁴ + 1 are all primes. A73476

G.f.: A(x) = ( G(x)¹¹ - G(x¹¹) - 11·x*((1-x¹⁰)/(1-x))/(1-x¹¹) )/(121·x²) where G(x) is the g.f. of A110644. A111585

Number of 2Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 2Xn array. A219829

Number of (n+2)X(7+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252810

T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A252811

G.f. satisfies A(x) = 1 + x·cycle_index(G,A(x)) where G = cyclic group of order 19 generated by (1,2,...,19). A36732