Properties of the Number 24278

Twenty-Four Thousand Two Hundred Seventy-Eight

Basics

Value: 24277 → 24278 → 24279

Parity: even

Prime: No

Previous Prime: 24251

Next Prime: 24281

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 61 × 199

Divisors: 1, 2, 61, 122, 199, 398, 12139, 24278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111011010110

Octal: 57326

Duodecimal: 12072

Hexadecimal: 5ed6

Square: 589421284

Square Root: 155.8139916695545

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

a(n) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

a(n) = floor(Fibonacci(n)/5). A4698

Triangle read by rows, k!*s₂(n, k) where s_m(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0. A225475

a(0) = 1, a(n) = 21·n² + 2 for n>0. A10011

a(n) = sum of terms of {a(1),a(2),a(3),...a(n-1)} which are coprime to n. A96217

a(n) = floor(L³*{φ^3·n-2, φ^3·n-1, φ^3·n-2 + φ^3·n-1}) where L = (1 + sqrt(5))/(2·sqrt(5)) and φ = (1 + sqrt(5))/2. A115315

a(n) = ∑_k=1..n k·k', where n' is the arithmetic derivative of n. A190117

Representation degeneracies for Neveu-Schwarz strings. A5295

Expansion of (1+3·x+9·x²+12·x³+11·x⁴+3·x⁵+x⁶)/((1-x)²*(1-x²)²*(1-x³)). A55383

Expansion of g.f.: -1/(-1 + x + x⁴ - x¹⁰ + x¹³ + x¹⁴). A174578