Properties of the Number 45637

Forty-Five Thousand Six Hundred Thirty-Seven

Basics

Value: 45636 → 45637 → 45638

Parity: odd

Prime: No

Previous Prime: 45631

Next Prime: 45641

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 47 × 971

Divisors: 1, 47, 971, 45637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001001000101

Octal: 131105

Duodecimal: 224B1

Hexadecimal: b245

Square: 2082735769

Square Root: 213.6281816615027

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

Numbers whose sum of divisors is a sixth power. A19424

Numbers whose sum of divisors is 6⁶ = 46656. A48256

Number of 6Xn -1,1 arrays such that the sum over i=1..6,j=1..n of i·x(i,j) is zero, the sum of x(i,j) is zero, and rows are nondecreasing (number of ways to distribute n-across galley oarsmen left-right at 6 fore-aft positions so that there are no turning moments on the ship). A225346

Number of length n 1..(4+2) arrays with no leading partial sum equal to a prime and no consecutive values equal. A255712

Primes of the form p² + 4, where p is prime. A45637

T(n,k)=Number of length n 1..(k+2) arrays with no leading partial sum equal to a prime and no consecutive values equal. A255716

Numbers k such that φ(k) < φ(k - φ(k)). A51488