Properties of the Number 53966

Fifty-Three Thousand Nine Hundred Sixty-Six

Basics

Value: 53965 → 53966 → 53967

Parity: even

Prime: No

Previous Prime: 53959

Next Prime: 53987

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 ² × 223

Divisors: 1, 2, 11, 22, 121, 223, 242, 446, 2453, 4906

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101001011001110

Octal: 151316

Duodecimal: 27292

Hexadecimal: d2ce

Square: 2912329156

Square Root: 232.30583290137164

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) = T(n,n-6), array T as in A055807. A55811

a(1) = 1, a(n+1) = a(n) + gpf(∑_i=1..n a(i)), where gpf=A006530 (greatest prime factor). A80182

a(n) = ∑_k=1..n k·lcm(k,n). A344508

First differences of triangular numbers with square pyramidal indices. A77538

∏_n>=1 (1 + xⁿ)^a(n) = g.f. of A001970 (partitions of partitions). A305841

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, -1), (1, 0, 1), (1, 1, 0)}. A150776

Numbers k such that k² contains only digits {4,8,9}. A53966