Properties of the Number 52065

Fifty-Two Thousand Sixty-Five

Basics

Value: 52064 → 52065 → 52066

Parity: odd

Prime: No

Previous Prime: 52057

Next Prime: 52067

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 89

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 65, 89

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101101100001

Octal: 145541

Duodecimal: 26169

Hexadecimal: cb61

Square: 2710764225

Square Root: 228.17756243767704

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 2nX2k 0..4 arrays with values 0..4 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors. A198511

E.g.f. satisfies: A(x) = ∑_n>=0 nⁿ * xⁿ/n! * A(n·x). A218683

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A321711

Numbers m such that both m²-1 and m² are refactorable numbers (A033950) and that m² has more divisors than m²-1. A342970

Number of 2n X 2 0..4 arrays with values 0..4 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors. A198508

Numbers k such that {k + 2, k + 4} and {k² + 2, k² + 4} are both twin prime pairs. A284014

a(n) is the first square root greater than 10ⁿ such that a(n)² is a palfree square (palfree = contains no palindromic substring except single digits). A52065