Properties of the Number 3917

Three Thousand Nine Hundred Seventeen

Basics

Value: 3916 → 3917 → 3918

Parity: odd

Prime: Yes

Previous Prime: 3911

Next Prime: 3919

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 3917

Divisors: 1, 3917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001101

Octal: 7515

Duodecimal: 2325

Hexadecimal: f4d

Square: 15342889

Square Root: 62.5859409132754

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

Initial members of prime triples (p, p+2, p+6). A22004

a(n) = 1 + n + 2·n². A84849

Primes p such that p, p+2, p+6, p+12 and p+14 are consecutive primes. A78946

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

Coordination sequence for (2,3,8) tiling of hyperbolic plane. A265058

Primes congruent to 2 mod 29. A141978

Primes of the form k(k+1)/2+1 (i.e., central polygonal numbers, or one more than triangular numbers). A55469

Primes of the form k² + k + 11. A48059

Total number of smallest parts in all partitions of n into odd parts. A92268

Primes such that the sum of the predecessor and successor primes is divisible by 29. A112859