Properties of the Number 16807

Sixteen Thousand Eight Hundred Seven

Basics

Value: 16806 → 16807 → 16808

Parity: odd

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ⁵

Divisors: 1, 7, 49, 343, 2401, 16807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110100111

Octal: 40647

Duodecimal: 9887

Hexadecimal: 41a7

Square: 282475249

Square Root: 129.64181424216494

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 trees on n labeled nodes: n^n-2 with a(0)=1. A272

Fifth powers: a(n) = n⁵. A584

Powers of 7: a(n) = 7ⁿ. A420

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=2, I={1}. A80014

Consecutive internal states of the IMSL pseudo-random number generator RNUN when started with ISEED=1. A96550

Fifth powers of primes. A50997

Numbers of the form p^e where both p and e are prime numbers. A53810

Perfect powers m^k where m is a positive integer and k >= 3. A76467

a(n) = A276086(A276086(n)), where A276086 is the primorial base exp-function. A276087

4-full numbers: if a prime p divides k then so does p⁴. A36967