Properties of the Number 24497

Twenty-Four Thousand Four Hundred Ninety-Seven

Basics

Value: 24496 → 24497 → 24498

Parity: odd

Prime: No

Previous Prime: 24481

Next Prime: 24499

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 × 17 × 131

Divisors: 1, 11, 17, 131, 187, 1441, 2227, 24497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111110110001

Octal: 57661

Duodecimal: 12215

Hexadecimal: 5fb1

Square: 600103009

Square Root: 156.51517498313063

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

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

G.f.: x * ∏_k>=1 1/(1 - a(k)*x^k)^k. A308206

Odd hexagonal pyramidal numbers. A15225

Small rhombicosidodecahedron with faces of centered polygons. A193251

Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7. A252248

a(n) = numerator of ∑_d∣n (pod(d)/σ(d))where pod(k) = the product of the divisors of k (A007955) and σ(k) = the sum of the divisors of k (A000203). A324984

Sequence derived from arithmetic relations between powers of φ (A001622): a(n) = φⁿ - (-1)ⁿ * (n - φ^-n). A248924

a(n) = (-1)ⁿ*(n + 1)*(5·n² + 10·n + 1). A271532

Numbers k such that 8·10^k - 79 is prime. A294572

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940