Properties of the Number 35536

Thirty-Five Thousand Five Hundred Thirty-Six

Basics

Value: 35535 → 35536 → 35537

Parity: even

Prime: No

Previous Prime: 35533

Next Prime: 35537

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 2221

Divisors: 1, 2, 4, 8, 16, 2221, 4442, 8884, 17768, 35536

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101011010000

Octal: 105320

Duodecimal: 18694

Hexadecimal: 8ad0

Square: 1262807296

Square Root: 188.50994668717087

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 binary sequences of length n with no initial repeats (or, with no final repeats). A122536

Maximum value of the cyclic convolution of first n primes with themselves. A299111

Structured triakis icosahedral numbers (vertex structure 4). A100172

a(n) = n*(2·n² + 5·n + 13)/2. A163655

Number of binary sequences of length 2n-1 and curling number 1. A211965

Number of partitions of n into parts that are odd or == +- 2 (mod 10). A133153

Number of (n+2)X(n+2) 0..1 matrices with each 3X3 subblock idempotent. A224551

The number of tilings of the 3 X 4 X n room by 1 X 1 X 3 boxes. A237355

Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 3). A35536

Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where n unlabeled objects are distributed into k containers of four kinds. Containers may be left empty. A382522