Properties of the Number 45424

Forty-Five Thousand Four Hundred Twenty-Four

Basics

Value: 45423 → 45424 → 45425

Parity: even

Prime: No

Previous Prime: 45413

Next Prime: 45427

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 17 × 167

Divisors: 1, 2, 4, 8, 16, 17, 34, 68, 136, 167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101110000

Octal: 130560

Duodecimal: 22354

Hexadecimal: b170

Square: 2063339776

Square Root: 213.12906887611553

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

Number of partitions of n where the difference between consecutive parts is at most 7. A238867

Expansion of r(q⁴) / r(q)⁴ in powers of q where r() is the Rogers-Ramanujan continued fraction. A285584

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202869; by antidiagonals. A202870

a(n) is the number of 2 X 2 matrices with elements 1..n where at least one row and at least one column is strictly increasing. A390922

a(n) = ∑_k=0..n (-1)^k * binomial(n,k²). A307093

Number of conics which pass through 3 points and are bitangent to a general curve of order n. A60783

Numbers k such that k and k+1 have the same sum of 5-smooth divisors. A355713

Number of components over all functions on n unlabeled nodes. A217860

Primes congruent to {0, 1, 3} mod 7. A45424