Properties of the Number 26717

Twenty-Six Thousand Seven Hundred Seventeen

Basics

Value: 26716 → 26717 → 26718

Parity: odd

Prime: Yes

Previous Prime: 26713

Next Prime: 26723

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 26717

Divisors: 1, 26717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001011101

Octal: 64135

Duodecimal: 13565

Hexadecimal: 685d

Square: 713798089

Square Root: 163.45335726133007

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 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

Numbers n such that (26ⁿ - 1)/25 is prime. A127999

"DIK" (bracelet, indistinct, unlabeled) transform of 1,2,3,4,... A32287

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340. A146362

Primes p such that p - 2², p - 4² and p - 6² are all positive primes. A246873

Primes p such that 14·p + 1 divides 2^p - 1. A350702

Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6). A78965

Primes that remain prime through 3 iterations of function f(x) = 6x + 7. A23289

Smallest prime greater than n*(n+1)²/2. A181956

Number of points of norm <= n in the body-centered cubic lattice with the lattice parameter equal to 2/sqrt(3). A276648