Properties of the Number 45181

Forty-Five Thousand One Hundred Eighty-One

Basics

Value: 45180 → 45181 → 45182

Parity: odd

Prime: Yes

Previous Prime: 45179

Next Prime: 45191

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 45181

Divisors: 1, 45181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001111101

Octal: 130175

Duodecimal: 22191

Hexadecimal: b07d

Square: 2041322761

Square Root: 212.55822731665788

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

Primes of the form 2·n² + 78·n + 37. A217501

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260207

Honaker primes of the form p = 2·k-1 with sum-of-digits(p) = sum-of-digits(k). A176111

Primes that remain prime through 4 iterations of function f(x) = 2x + 9. A23306

5-digit terms in the continued fraction for π. A48960

Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260202

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. A260206

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 33", based on the 5-celled von Neumann neighborhood. A269812

a(n) = |∑_k=0..n (-1)^k*(3k)!!|. A290046

a(2) = a(3) = 1; for n >3, a(n) = largest prime factor of n-th Tribonacci number. A366584