Properties of the Number 45844

Forty-Five Thousand Eight Hundred Forty-Four

Basics

Value: 45843 → 45844 → 45845

Parity: even

Prime: No

Previous Prime: 45841

Next Prime: 45853

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 73 × 157

Divisors: 1, 2, 4, 73, 146, 157, 292, 314, 628, 11461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001100010100

Octal: 131424

Duodecimal: 22644

Hexadecimal: b314

Square: 2101672336

Square Root: 214.11212016137713

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50055

Expansion of the elliptic function sqrt(k(q))/q^1/4 in powers of q, where sqrt(k(q)) = theta₂(q)/theta₃(q). A127392

Expansion of x/((1 - x - x⁴)*(1 - x)⁵). A145134

McKay-Thompson series of class 32B for the Monster group. A58630

Number of weakly unimodal compositions of n with absolute difference of successive parts <= 1. A238871

Number of ballot sequences of length n with exactly 2 fixed points. A238977

Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1). A75654

Number of (n+2) X 7 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202444

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals. A202447

a(n+1) = a(n) + largest digit of a(n); a(0) = 1. A45844