Properties of the Number 16673

Sixteen Thousand Six Hundred Seventy-Three

Basics

Value: 16672 → 16673 → 16674

Parity: odd

Prime: Yes

Previous Prime: 16661

Next Prime: 16691

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 16673

Divisors: 1, 16673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000100100001

Octal: 40441

Duodecimal: 9795

Hexadecimal: 4121

Square: 277988929

Square Root: 129.1239714383042

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

(Presumed) solution to Waring's problem: g(n) = 2ⁿ + floor((3/2)ⁿ) - 2. A2804

Palindromic primes in base 3. A29971

The first of two consecutive primes with equal digital sums. A66540

Primes p with the following property: let d₁, d₂, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed. A57876

T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (with a≠b) and new values 0..k introduced in 0..k order. A244702

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

Total number of positive integers < 10ⁿ with multiplicative digital root value 2. A263471

Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002. A86003

Beastly fax numbers: numbers containing the fax number of the Beast (667, one more than its regular number) in their decimal expansion. A138563

Primes congruent to 31 mod 53. A142561