Properties of the Number 65553

Sixty-Five Thousand Five Hundred Fifty-Three

Basics

Value: 65552 → 65553 → 65554

Parity: odd

Prime: No

Previous Prime: 65551

Next Prime: 65557

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 21851

Divisors: 1, 3, 21851, 65553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000010001

Octal: 200021

Duodecimal: 31B29

Hexadecimal: 10011

Square: 4297195809

Square Root: 256.0332009720614

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

a(n) = 2ⁿ + n + 1. A5126

a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1. A33052

a(n) = ∑_d∣n 4^d-1. A339684

a(n) = ∑_d∣n d·2^{n/d - 1}. A54599

a(n) = ∑_d∣n d^2·d. A308696

a(n) = ∑_d∣n d·2^n-d. A90879

a(n) = (-1)ⁿ * coefficient of xⁿ in ∑_k>=1 x^k-1/(1+4·x^k). A101562

Number of non-Fibonacci parts in the last section of the set of partitions of n. A144118

Positions of 0 in A288132; complement of A288134. A288133

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is ∑_d∣n d^k·d. A308698