Properties of the Number 44651

Forty-Four Thousand Six Hundred Fifty-One

Basics

Value: 44650 → 44651 → 44652

Parity: odd

Prime: Yes

Previous Prime: 44647

Next Prime: 44657

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 44651

Divisors: 1, 44651

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111001101011

Octal: 127153

Duodecimal: 21A0B

Hexadecimal: ae6b

Square: 1993711801

Square Root: 211.3078323205271

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(0) = 1; for n > 0, a(n) = 41·n² + 2. A206399

Primes of the form 2·n² + 74·n + 35. A217500

Primes of the form 3·m² - 1. A89682

Primes of the form 12·n²-1. A143830

Primes p such that p² is the concatenation of two k-digit primes where k is half the length of p². A248046

Primes p such that p-1 is a partial sum of A014574. A343711

G.f.: 1/∏_k>=1 (1 - x^2·k²) * (1 - x^k). A385011

Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1. A35984

Numbers n such that string 2,1 occurs in the base 9 representation of n but not of n+1. A44651

a(n) is the least number k having exactly n representations as m + σ(m), where σ(m) is the sum of the divisors of m. A186273