Properties of the Number 12117

Twelve Thousand One Hundred Seventeen

Basics

Value: 12116 → 12117 → 12118

Parity: odd

Prime: No

Previous Prime: 12113

Next Prime: 12119

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 577

Divisors: 1, 3, 7, 21, 577, 1731, 4039, 12117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101010101

Octal: 27525

Duodecimal: 7019

Hexadecimal: 2f55

Square: 146821689

Square Root: 110.07724560507498

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(n) = 2·a(n-1) + n², a(0) = 0. A47520

Numbers that are the sum of eight fifth powers in two or more ways. A345610

Numbers that are the sum of eight fifth powers in exactly two ways. A346327

Least number k>1 such that k+10ⁿ is a symmetric prime with symmetric digits (i.e. such that k+10ⁿ is in A007500). A122490

Describe prime factorization of n (primes in ascending order and with repetition) (method A - initial term is 2). A123132

Coefficient of·in the reduction by (x² -> x+1) of the polynomial p(n,x) given in Comments. A192882

Conjecturally, the largest k such that prime(n)² is the largest squared prime divisor of binomial(2k,k). A239623

Expansion of 1/( 1 - ∑_k>=0 x^{4^k} / (1 - x^{4^k}) ). A382372

The number of times a point sum n is attained in all 7⁶ permutations of throwing 7 dice. A166322

Triangle of transformations with k monotonic runs. A225753