Properties of the Number 5090

Five Thousand Ninety

Basics

Value: 5089 → 5090 → 5091

Parity: even

Prime: No

Previous Prime: 5087

Next Prime: 5099

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 509

Divisors: 1, 2, 5, 10, 509, 1018, 2545, 5090

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001111100010

Octal: 11742

Duodecimal: 2B42

Hexadecimal: 13e2

Square: 25908100

Square Root: 71.34423592694787

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 integer partitions of n with no part dividing all the others. A338470

G.f.: (1+x⁸+x⁹+x¹⁰+x¹⁸)/((1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A97851

a(n) = prime(n)² - prime(n²). Commutator of (primes, squares) at n. A123914

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

Numbers that are the sum of five fourth powers in exactly two ways. A344237

Numbers that are the sum of five fourth powers in two or more ways. A344238

Least positive k such that k * [RSA-640]ⁿ - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14). A108573

Numbers k such that k⁸¹*(k⁸¹+1)+1 is prime. A153442

Numbers k such that the continued fraction for sqrt(k) has period 9. A10339

∑_{i for which n - i*(i-1)/2 >= 0} binomial (n - i*(i-1)/2, i). A63978