Properties of the Number 45361

Forty-Five Thousand Three Hundred Sixty-One

Basics

Value: 45360 → 45361 → 45362

Parity: odd

Prime: Yes

Previous Prime: 45343

Next Prime: 45377

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 45361

Divisors: 1, 45361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011000100110001

Octal: 130461

Duodecimal: 22301

Hexadecimal: b131

Square: 2057620321

Square Root: 212.9812198293549

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 (8+k!)/8. A139066

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself. A266033

Primes p such that τ(p-1)+τ(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.) A90481

a(n) = n³ - n² + 1. A100104

Primes p such that A001175(p) = (p-1)/9. A308794

Primes of the form k! + (k+1)! + 1. A118913

Primes p such that p-1 is a highly composite number. A72826

Primes which can be partitioned into distinct factorials. 0! and 1! are not considered distinct. A89359

List of amicable sums-of-factorial-of-digits pairs (A,B): A equals the sum of the factorials of B's digits in base 10, and vice versa. A214285

Primes p such that (p+nextprime(p))/2 is a perfect square. A225195