Properties of the Number 12493

Twelve Thousand Four Hundred Ninety-Three

Basics

Value: 12492 → 12493 → 12494

Parity: odd

Prime: No

Previous Prime: 12491

Next Prime: 12497

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 × 31 ²

Divisors: 1, 13, 31, 403, 961, 12493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011001101

Octal: 30315

Duodecimal: 7291

Hexadecimal: 30cd

Square: 156075049

Square Root: 111.77208953938367

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

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

13 times the squares: a(n) = 13·n². A152742

Numbers n such that A242719(n) = (prime(n))²+1 and A242720(n) - A242719(n) = 2*(prime(n)+1). A246748

Smallest k for which k, 2k, ... nk all contain the digit 4. A39935

a(n) = σ(n²) / gcd(σ(n²), A003961(n²)), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of divisors function. A350072

Row sums of triangle A120072 (numerator triangle for H atom spectrum). A120074

Numbers k such that 1 + ∑_i=1..k-1 A001223(i)*(-1)ⁱ = 0. A127596

Primitive antiharmonic numbers. A228023

Numerators of row 4 of table described in A051714/A051715. A51722

Numbers which need ten 'Reverse and Add' steps to reach a palindrome. A65215