Properties of the Number 459

Four Hundred Fifty-Nine

Basics

Value: 458 → 459 → 460

Parity: odd

Prime: No

Previous Prime: 457

Next Prime: 461

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 17

Divisors: 1, 3, 9, 17, 27, 51, 153, 459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011

Octal: 713

Duodecimal: 323

Hexadecimal: 1cb

Square: 210681

Square Root: 21.42428528562855

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Number of permutations of 1..n containing the relative rank sequence { 23145 } at any spacing. A158423

Multiples of 9: a(n) = 9·n. A8591

Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}. A18805

Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate. A960

Expansion of g.f. x/((1 - x)²*(1 - x³)). A1840

Lesser of two consecutive numbers each divisible by a square. A68781

Partial sums of A299268. A299269

Product of the cube of a prime (A030078) and a different prime. A65036

a(n) = 10·n + 9. A17377