Properties of the Number 24293

Twenty-Four Thousand Two Hundred Ninety-Three

Basics

Value: 24292 → 24293 → 24294

Parity: odd

Prime: No

Previous Prime: 24281

Next Prime: 24317

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 1429

Divisors: 1, 17, 1429, 24293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111011100101

Octal: 57345

Duodecimal: 12085

Hexadecimal: 5ee5

Square: 590149849

Square Root: 155.8621185535472

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

Sum of 12 positive 9th powers. A4801

T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent. A224588

Number of partitions of the set {1, 2, 3, ..., 6n+3} into 2n+1 sets of 3 elements each, such that each 3-element set has the same sum (there are no such partitions unless there are 6n+3 elements). A104185

Numbers k such that prime(k) divides primorial(j) + 1 for exactly three integers j. A283928

T(n, k) = S(2·n + 1, n, k + 1) for 0<=k<=n and n >= 0, array S as in A050157. A50158

a(n) = ∑_{k=0..floor(n/2)} (C(n+2, k+2) - C(n+2, k)). A194124

Convolution of positive integers n with Lucas numbers L(k)(A000032) for k >= 4. A33814

Number of (n+6)X9 0..1 matrices with each 7X7 subblock idempotent. A224583

Number of (n+6)X10 0..1 matrices with each 7X7 subblock idempotent. A224584

Composite numbers, not ending with 0, sharing a 3-digit sequence with some of its prime factors. A131523