Properties of the Number 909

Nine Hundred Nine

Basics

Value: 908 → 909 → 910

Parity: odd

Prime: No

Previous Prime: 907

Next Prime: 911

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 101

Divisors: 1, 3, 9, 101, 303, 909

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001101

Octal: 1615

Duodecimal: 639

Hexadecimal: 38d

Square: 826281

Square Root: 30.14962686336267

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Start with 1 and repeatedly reverse the decimal digits and add 4 to get the next term. A117828

Palindromic in bases 10 and 11. A29966

Number of partitions of n that sorted in increasing order do not contain a part k in position k. A238394

Multiples of 9 containing a 9 in their decimal representation. A121029

Numbers whose sum of digits is 18. A235228

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Lunar primes (formerly called dismal primes) (cf. A087062). A87097

Number of non-isomorphic aperiodic multiset partitions of weight n. A303546

Number of integer partitions of n whose negated run-lengths are unimodal. A332638