Properties of the Number 16657

Sixteen Thousand Six Hundred Fifty-Seven

Basics

Value: 16656 → 16657 → 16658

Parity: odd

Prime: Yes

Previous Prime: 16651

Next Prime: 16661

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 16657

Divisors: 1, 16657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000100010001

Octal: 40421

Duodecimal: 9781

Hexadecimal: 4111

Square: 277455649

Square Root: 129.0620006043607

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

Primes whose base-4 representation also is the base 2-representation of a prime. A235461

Numbers k such that 2^k + 21 is prime. A57201

Primes of the form n² + 16. A243451

Number T(n,k) of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows. A287213

Primes which can be expressed as sum of distinct powers of 4. A77718

Primes of the form x² + 1848·y². A139668

Primes p that remain prime through at least 2 iterations of the function f(p) = p² + 4. A116886

Sums of 4 distinct powers of 4. A38472

Primes p that remain prime through at least 3 iterations of function f(p)=p²+4. A116887

Primes of the form m*(m+1)/2 + 4. A159048