Properties of the Number 616

Six Hundred Sixteen

Basics

Value: 615 → 616 → 617

Parity: even

Prime: No

Previous Prime: 613

Next Prime: 617

Digit Sum: 13

Digital Root: 4

Palindrome: Yes

Factorization: 2 ³ × 7 × 11

Divisors: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1001101000

Octal: 1150

Duodecimal: 434

Hexadecimal: 268

Square: 379456

Square Root: 24.819347291981714

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0. A931

Sum of all parts of all partitions of n. A66186

a(0) = 0, a(1) = a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4). A5251

Numbers having k prime factors (counted with multiplicity), the largest of which is the k-th prime. A106529

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

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

Numbers that are products of 5 primes (or 5-almost primes, a generalization of semiprimes). A14614

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787

Least k such that H(k) > n, where H(k) is the harmonic number ∑_i=1..k 1/i. A2387