Properties of the Number 5073

Five Thousand Seventy-Three

Basics

Value: 5072 → 5073 → 5074

Parity: odd

Prime: No

Previous Prime: 5059

Next Prime: 5077

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 89

Divisors: 1, 3, 19, 57, 89, 267, 1691, 5073

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001111010001

Octal: 11721

Duodecimal: 2B29

Hexadecimal: 13d1

Square: 25735329

Square Root: 71.22499561249548

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

a(n) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Fundamental discriminants of real quadratic number fields with class number 6. A218156

Let r, s, t be three permutations of the set { 1, 2, 3, ..., n }; a(n) = minimal value of ∑_i=1..n r(i)*s(i)*t(i). A70735

Number of configurations of the 5 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90036

Bases b where exactly six primes p with p < b exist such that p is a base-b Wieferich prime. A325882

a(n) is the denominator of the probability that the free polyomino with binary code A246521(n+1) appears in internal diffusion-limited aggregation on the square lattice. A368387

Least b > p_n² such that [p₁²,p₂²,...,p_n²] in base b is prime, where p_j denotes the j-th prime. A224197

Composite numbers k such that A075254(k) is a square. A386246

Least k such that there are exactly n ways to choose a divisor of each prime index of k (taken in weakly increasing order) such that the result is also weakly increasing. A355736

a(n) = ∑_k=0..n n^k * binomial(n,k) * Catalan(k). A338979