Properties of the Number 12249

Twelve Thousand Two Hundred Forty-Nine

Basics

Value: 12248 → 12249 → 12250

Parity: odd

Prime: No

Previous Prime: 12241

Next Prime: 12251

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1361

Divisors: 1, 3, 9, 1361, 4083, 12249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111011001

Octal: 27731

Duodecimal: 7109

Hexadecimal: 2fd9

Square: 150038001

Square Root: 110.6752004741803

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

a(1) = 1 and a(n) = ceiling((∑_k=1..n-1 a(k))/3) for n >= 2. A72493

Variant of Lucas numbers: a(n) = a(n-1) + 4·a(n-2) starting with a(0)=2 and a(1)=1. A72265

Number of integer partitions of n having at most one permutation with all equal run-lengths. A383092

Josephus problem: numbers m such that, when m people are arranged on a circle and numbered 1 through m, the final survivor when we remove every 4th person is one of the first three people. A5427

a(n) = 10·n² - 1. A158447

Odd numbers for which σ(k) is congruent to 2 modulo 4 and the 3-adic valuation of k is one larger than the 3-adic valuation of σ(k). A351534

Second binomial transform of expansion of cosh(sinh(x)). A81444

Number of prime pairs below 10ⁿ having a difference of 26. A93748

The smallest constant of an n X n associative magic square composed of distinct primes. A188537

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192389