Properties of the Number 24739

Twenty-Four Thousand Seven Hundred Thirty-Nine

Basics

Value: 24738 → 24739 → 24740

Parity: odd

Prime: No

Previous Prime: 24733

Next Prime: 24749

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 13 × 173

Divisors: 1, 11, 13, 143, 173, 1903, 2249, 24739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000010100011

Octal: 60243

Duodecimal: 12397

Hexadecimal: 60a3

Square: 612018121

Square Root: 157.28636304524306

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 icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

Coefficients of 1/sqrt(1 - 2·x - 11·x²); also, a(n) is the central coefficient of (1 + x + 3·x²)ⁿ. A84603

G.f.: 1/((1-x²)³*(1-x)⁴). A60099

Numbers k such that σ(φ(k)) - φ(σ(k)) is nonzero and divisible by σ(k), that is A065395(k)/A000203(k) is a nonzero integer. A92588

a(n) = n*(5·n²-8·n+5)/2. A226449

Array read by antidiagonals: T(n,k) is the number of noncrossing k-gonal cacti with n polygons up to rotation. A361236

Triangle of rooted planar maps up to orientation-preserving isomorphisms. A46653

Number of nonequivalent noncrossing trees with n edges up to rotation. A296532

Consecutive states of the linear congruential pseudo-random number generator 172·s mod 30307 when started at s=1. A385032

Expansion of ∏_m>=1 (1+x^m)¹³. A22578