Properties of the Number 16217

Sixteen Thousand Two Hundred Seventeen

Basics

Value: 16216 → 16217 → 16218

Parity: odd

Prime: Yes

Previous Prime: 16193

Next Prime: 16223

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 16217

Divisors: 1, 16217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111101011001

Octal: 37531

Duodecimal: 9475

Hexadecimal: 3f59

Square: 262991089

Square Root: 127.3459854098275

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

Number of compositions with alternating parts weakly decreasing (or weakly increasing). A342528

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 d-pattern=[6, 6,2]; short d-string notation of pattern = [662]. A78857

Father primes of order 8. A136077

Number of compositions (ordered partitions) of n into distinct parts >= 5. A339103

Primes p such that 8p +1 and (p-1)/8 are primes. A85958

Primes that remain prime through 3 iterations of function f(x) = 4x + 9. A23282

Primes that remain prime through 4 iterations of function f(x) = 9x + 10. A23327

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 9: primes in A143577. A146354

Primes congruent to 52 mod 53. A142582

Number of n X 3 arrays with each row a permutation of 1..3 having at least as many downsteps as the preceding row, with rows in lexicographically nonincreasing order. A222001