Properties of the Number 16417

Sixteen Thousand Four Hundred Seventeen

Basics

Value: 16416 → 16417 → 16418

Parity: odd

Prime: Yes

Previous Prime: 16411

Next Prime: 16421

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 16417

Divisors: 1, 16417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000000100001

Octal: 40041

Duodecimal: 9601

Hexadecimal: 4021

Square: 269517889

Square Root: 128.1288414058287

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 subsets {x(1),x(2),...,x(k)} of {1,2,...,n} such that all differences |x(i)-x(j)| are distinct. A143823

Primes of the form 2ⁱ + 2^j + 1, i > j > 0. A81091

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=[4, 6,6]; short d-string notation of pattern = [466]. A78852

Primes of form n² + 4096. A256836

Smallest prime containing n zeros in its binary expansion. A66195

Primes of the form 9x² + 6xy + 1849y². A244019

Difference between the number of odd parts and the number of even parts in all the partitions of n. A209423

Primes p such that x⁸ = 2 has a solution mod p, but x^8² = 2 has no solution mod p. A70184

Smallest prime between 2ⁿ and 2ⁿ⁺¹, having a minimal number of 1's in binary representation. A91936

Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes. A113000