Properties of the Number 12017

Twelve Thousand Seventeen

Basics

Value: 12016 → 12017 → 12018

Parity: odd

Prime: No

Previous Prime: 12011

Next Prime: 12037

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 61 × 197

Divisors: 1, 61, 197, 12017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011110001

Octal: 27361

Duodecimal: 6B55

Hexadecimal: 2ef1

Square: 144408289

Square Root: 109.62207806824317

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

Number of multiset partitions of integer partitions of n with all distinct block sizes. A358836

Total number of even parts in all partitions of n. A66898

Numbers of the form ((6k+5)²+9)/2 or 2(3k+4)²-9. A214493

Cyclops numbers whose squares are cyclops numbers. A239827

Numerators of continued fraction convergents to sqrt(263). A41492

Class numbers of quadratic fields. A1985

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence). A25094

Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5). A35575

Smallest number of the cycle in which n ends under iteration of sum-of-the-square-of-two-digits. A257810

Length of cycle in which n ends under iteration of sum-of-squares-of-two-digits map s₂. A257948