Properties of the Number 10293

Ten Thousand Two Hundred Ninety-Three

Basics

Value: 10292 → 10293 → 10294

Parity: odd

Prime: No

Previous Prime: 10289

Next Prime: 10301

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 47 × 73

Divisors: 1, 3, 47, 73, 141, 219, 3431, 10293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000110101

Octal: 24065

Duodecimal: 5B59

Hexadecimal: 2835

Square: 105945849

Square Root: 101.45442326483355

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

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

a(n) = ∑_k=0..2·n/3 C(n-k,2·k-n)². A298567

Numerators of expansion of Jacobi nome q in parameter m. A2639

a(n) = 2·a(n-1) + a(n-2) + a(n-3) + a(n-4), with a(0)=1, a(1)=2, a(3)=5, a(4)=13. A103142

G.f.: ∏_k>=1 (1 + x^k) / (1 - x^k²). A280276

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

a(1) = 7 then the smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise). A83994

Numbers k such that k² is a square arising in A154138. A156066

Numbers n such that n²-9 is divisible by consecutive primes beginning with 2. A217277