Properties of the Number 24747

Twenty-Four Thousand Seven Hundred Forty-Seven

Basics

Value: 24746 → 24747 → 24748

Parity: odd

Prime: No

Previous Prime: 24733

Next Prime: 24749

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 73 × 113

Divisors: 1, 3, 73, 113, 219, 339, 8249, 24747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000010101011

Octal: 60253

Duodecimal: 123A3

Hexadecimal: 60ab

Square: 612414009

Square Root: 157.3117923106847

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

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231382

Least k > 0 such that gcd(kⁿ + 8, (k+1)ⁿ + 8) > 1, or 0 if there is no such k. A255858

Numbers n such that 4ⁿ - n is prime. A57908

Numbers n such that n²⁰⁴⁸ + (n+1)²⁰⁴⁸ is prime. A274235

a(n) = 27·n²/2 + 45·n/2 - 12 (n>=1). A304375

Number of n X 3 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231377

Number of nX7 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231381

Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A306125

Numbers whose base-5 representation contains exactly three 2's and three 4's. A45292

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A306129