Properties of the Number 13417

Thirteen Thousand Four Hundred Seventeen

Basics

Value: 13416 → 13417 → 13418

Parity: odd

Prime: Yes

Previous Prime: 13411

Next Prime: 13421

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13417

Divisors: 1, 13417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001101001

Octal: 32151

Duodecimal: 7921

Hexadecimal: 3469

Square: 180015889

Square Root: 115.83177456984762

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 such that the sum of the predecessor and successor primes is divisible by 43. A113158

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. A297823

Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero. A88291

Primes connected to two primes by the (p+1)/2 and 2p-1 operators. A109835

Primes p such that there exist three primes q, r and s with p³=q³+r³+s³. A114923

Triangle read by rows in which row n gives list of prime factors of p^p + 1 where p = prime(n). A125136

a(n) is the smallest prime factor of nⁿ+1 having the form k·n+1. A187022

a(n) = ∑_i=0..n digsum₃(i)⁴, where digsum₃(i) = A053735(i). A231505

Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups. A92946

Numbers k such that 13k = 6j² + 6j + 1. A106390