Properties of the Number 3339

Three Thousand Three Hundred Thirty-Nine

Basics

Value: 3338 → 3339 → 3340

Parity: odd

Prime: No

Previous Prime: 3331

Next Prime: 3343

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 53

Divisors: 1, 3, 7, 9, 21, 53, 63, 159, 371, 477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001011

Octal: 6413

Duodecimal: 1B23

Hexadecimal: d0b

Square: 11148921

Square Root: 57.784080852774665

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

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

Numbers that are the sum of 10 positive 7th powers. A3377

D-toothpick sequence of the third kind starting with a single toothpick. A220500

Number of integer partitions of n whose length (number of parts) is equal to the sum of some submultiset. A367212

a(n) = 90·n - 81. A139280

Partial sums of gcd-sum sequence A018804. A272718

Numbers k for which nontrivial positive magic squares of exactly 6 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125013

Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base. A60949

Numbers in which 3 outnumbers all other digits together. A292733