Properties of the Number 339

Three Hundred Thirty-Nine

Basics

Value: 338 → 339 → 340

Parity: odd

Prime: No

Previous Prime: 337

Next Prime: 347

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 113

Divisors: 1, 3, 113, 339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010011

Octal: 523

Duodecimal: 243

Hexadecimal: 153

Square: 114921

Square Root: 18.411952639521967

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) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) = least number > a(n-1) which is a unique sum of two distinct earlier terms. A2858

a(n) = 2·n² + 1. A58331

Dispersion of (3+[n·r]), where r=(golden ratio)=(1+sqrt(5))/2 and [ ]=floor, by antidiagonals. A191426

Sum of remainders of n mod k, for k = 1, 2, 3, ..., n. A4125

Indices k such that (1/3)*(prime(k)+prime(k+1)+prime(k+2)) is a prime. A64113

Number of partitions of n into at least two distinct parts. A111133

Number of partitions of n into distinct and relatively prime parts. A78374

a(n) = ∑_d∣n (-1)^d-1*d². A321543

Number of partitions of n with some part repeated. A47967