Properties of the Number 45825

Forty-Five Thousand Eight Hundred Twenty-Five

Basics

Value: 45824 → 45825 → 45826

Parity: odd

Prime: No

Previous Prime: 45823

Next Prime: 45827

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 13 × 47

Divisors: 1, 3, 5, 13, 15, 25, 39, 47, 65, 75

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001100000001

Octal: 131401

Duodecimal: 22629

Hexadecimal: b301

Square: 2099930625

Square Root: 214.06774628607644

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

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

Number of distinct lines through the origin in 4-dimensional cube of side length n. A90026

Numbers k such that 7·R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A99420

Number of n-bead 5-ary necklaces (no turning over allowed) that avoid the subsequence 110. A274020

Expansion of x⁵*(1 - x)²*(4 - 14·x + 8·x² + 11·x³ - 6·x⁴ - 2·x⁵ + 2·x⁶ + 5·x⁷ - 2·x⁸ + x⁹)/(1 - 2·x)⁴. A212330

Number of labeled n-vertex 2-edge multigraphs that are neither crossing nor nesting. A326247

(k²)-th k-smooth number for k = prime(n). A133581

Number of (n+3) X 10 0..2 matrices with each 4 X 4 subblock idempotent. A224727

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

a(n) = A004017(n)/2. A45825