Properties of the Number 58649

Fifty-Eight Thousand Six Hundred Forty-Nine

Basics

Value: 58648 → 58649 → 58650

Parity: odd

Prime: No

Previous Prime: 58631

Next Prime: 58657

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 223 × 263

Divisors: 1, 223, 263, 58649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010100011001

Octal: 162431

Duodecimal: 29B35

Hexadecimal: e519

Square: 3439705201

Square Root: 242.17555615709855

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 3's in all partitions of n. A24787

Numbers n such that φ(φ(n)) + σ(σ(n)) - φ(σ(n)) - σ(φ(n)) = σ(n). A66946

Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 4). A212384

Number of length-5 0..n arrays with no repeated value differing from the previous repeated value by one. A269496

Expansion of 1/(1 - ∑_k>=1 x^p(k)), where p(k) is the number of partitions of k (A000041). A280254

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one. A269494

a(n) = 2^n-4*n*(n+1)*(n²+5·n-2). A58649

Number of (n+1)X2 0..3 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant. A185919