Properties of the Number 36652

Thirty-Six Thousand Six Hundred Fifty-Two

Basics

Value: 36651 → 36652 → 36653

Parity: even

Prime: No

Previous Prime: 36643

Next Prime: 36653

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 ² × 11 × 17

Divisors: 1, 2, 4, 7, 11, 14, 17, 22, 28, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000111100101100

Octal: 107454

Duodecimal: 19264

Hexadecimal: 8f2c

Square: 1343369104

Square Root: 191.4471206364828

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

Maximal number of 1432 patterns in a permutation of 1,2,...,n. A100354

G.f. satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] A(x)ⁿ for n>1 with A(0)=A'(0)=1. A158883

Rectangular table where the g.f. of row n satisfies: R(n,x) = 1 + x·R(n,x)ⁿ * [d/dx x/R(n,x)] for n>=0, as read by antidiagonals. A208896

Expansion of ∑_k>=1 k³ * x^k/(1 - x^k)³. A366135

Sum of odd divisors of n < sqrt(n) = sum of even divisors of n < sqrt(n). A33832

Number of sequences of 5 throws of an n-sided die (with faces numbered 1, 2, ..., n) in which the sum of the throws first reaches or exceeds n on the 5th throw. A264750

Triangle T read by rows: T(n, m), for n >= 2, and m=1, 2, ..., n-1, equals the positive integer solution·of y² = x³ - A(n, m)²*x with the area A(n, m) = A249869(n, m) of the primitive Pythagorean triangle characterized by (n, m) or 0 if no such triangle exists. A278711

Numbers k such that the number of steps to reach 1 in '3x+1' problem equals τ(k), the number of divisors of k. A70980

Number of (n+3) X 7 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A188100

a(n) = (2·n-3-(-1)ⁿ)*(22·n²-21·n+5·n*(-1)ⁿ)/96. A298992