Properties of the Number 45441

Forty-Five Thousand Four Hundred Forty-One

Basics

Value: 45440 → 45441 → 45442

Parity: odd

Prime: No

Previous Prime: 45439

Next Prime: 45481

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 11 × 17

Divisors: 1, 3, 9, 11, 17, 27, 33, 51, 81, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000110000001

Octal: 130601

Duodecimal: 22369

Hexadecimal: b181

Square: 2064884481

Square Root: 213.16894708188622

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

"EFJ" (unordered, size, labeled) transform of 1,2,3,4,... A32299

a(n) = 9·a(n-1) + 72·a(n-2), n > 2; a(0)=1, a(1)=1, a(2)=17. A155001

Numbers that have exactly 7 representations as a k-gonal number, P(m,k) = m*((k-2)*m - (k-4))/2, k and m >= 3. A321157

Triangular matrix, read by rows, that satisfies: T(n,k) = [T²](n-1,k) when n>k>=0, with T(n,n) = (2·n+1). A102320

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

"DFJ" (bracelet, size, labeled) transform of 1,2,3,4... A32211

Number of n X 4 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209646

Members of a pair (m,n) such that σ(m) = σ(n) = σ(n-m), m < n where σ = A000203. A239939

Odd numbers k such that k/(1+A347381(k)) obtains record values, where A347381 gives the distance from n to the nearest common ancestor of n and σ(n) in the Doudna-tree. A386423

Primes congruent to {0, 4, 5} mod 7. A45441