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Properties of the Number 12009

Twelve Thousand Nine

Basics

Value: 12008 → 12009 → 12010

Parity: odd

Prime: No

Previous Prime: 12007

Next Prime: 12011

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 4003

Divisors: 1, 3, 4003, 12009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011101001

Octal: 27351

Duodecimal: 6B49

Hexadecimal: 2ee9

Square: 144216081

Square Root: 109.58558299338468

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

Decimal part of cube root of n starts with 9: first term of runs. A34135
Number of integer partitions of n containing no part > 1 whose prime indices all belong to the partition. A324754
a(n) = 8·n2 - 4·n - 3. A118057
Indices k such that 19 plus the k-th triangular number is a perfect square. A154147
Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones. A31832
Numbers having four 3's in base 6. A43384
Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826
Numbers n such that 5·10n + 8·Rn - 7 is prime, where Rn = 11...1 is the repunit (A002275) of length n. A103022
Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 72. A31570
a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 2] as of [1, 3, 1]. A211291