Properties of the Number 53175

Fifty-Three Thousand One Hundred Seventy-Five

Basics

Value: 53174 → 53175 → 53176

Parity: odd

Prime: No

Previous Prime: 53173

Next Prime: 53189

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 709

Divisors: 1, 3, 5, 15, 25, 75, 709, 2127, 3545, 10635

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110110111

Octal: 147667

Duodecimal: 26933

Hexadecimal: cfb7

Square: 2827580625

Square Root: 230.5970511520041

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 integer partitions of n with a part dividing all the other parts. A83710

a(n) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s. A297506

a(n) = 1 + (number of partitions of n, n>0). A52810

a(n) = 46·n² - 1. A158634

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s. A297501

Number of 7Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s. A297512

Number of ways to choose a rooted partition of each part in a constant rooted partition of n. A301761

Integer sequence arising from the nested radical R(m) = sqrt(4⁰+sqrt(4¹+sqrt(....+sqrt(4^m)...))) (see comment). A122579

Catalan-Larcombe-French sequence. A53175