Properties of the Number 24801

Twenty-Four Thousand Eight Hundred One

Basics

Value: 24800 → 24801 → 24802

Parity: odd

Prime: No

Previous Prime: 24799

Next Prime: 24809

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1181

Divisors: 1, 3, 7, 21, 1181, 3543, 8267, 24801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000011100001

Octal: 60341

Duodecimal: 12429

Hexadecimal: 60e1

Square: 615089601

Square Root: 157.4833324514058

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 every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297762

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

a(2·n+1) = 7·a(n), a(2·n+2) = 8·a(n) + a(n-1). A116554

Expansion of ∑_k>0 x^k/(1 - k·x^k)⁴. A363645

a(n) = 62·n² + 1. A158676

Number of integers in n-th generation of tree T(-1/2) defined in Comments. A274147

Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297761

Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1's. A297764

Number of nX7 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298659

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A298660