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Properties of the Number 36672

Thirty-Six Thousand Six Hundred Seventy-Two

Basics

Value: 36671 → 36672 → 36673

Parity: even

Prime: No

Previous Prime: 36671

Next Prime: 36677

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 6 × 3 × 191

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111101000000

Octal: 107500

Duodecimal: 19280

Hexadecimal: 8f40

Square: 1344835584

Square Root: 191.4993472573732

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

T(n,k) = Number of (n+1) X (k+1) 0..5 arrays with column and row pair sums b(i,j) = a(i,j)+a(i,j-1) and c(i,j) = a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203944
Maximum number of 6 sphinx tile shapes in a sphinx tiled hexagon of order n. A291582
One-half of the number of closed binary words of length n that are not privileged. A297185
Triangle read by rows: A007318·A136717. A137594
Number of length-n 0..2 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269613
Number of compositions of n into parts with distinct multiplicities and with exactly eight parts. A321778
Consider primitive pairs of integers (b, c) with b < 0 such that x5 + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of c. A371558
a(n) = prime(n)*prime(n+1) - prime(n). A37166
Number of (n+1)X2 0..5 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203937
Number of (n+1)X4 0..5 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203939