Properties of the Number 85800

Eighty-Five Thousand Eight Hundred

Basics

Value: 85799 → 85800 → 85801

Parity: even

Prime: No

Previous Prime: 85793

Next Prime: 85817

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 ² × 11 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100111100101000

Octal: 247450

Duodecimal: 417A0

Hexadecimal: 14f28

Square: 7361640000

Square Root: 292.9163703175362

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+2401)² = y². A118630

Numbers with prime factorization p·q*r·s²*t³ (where p, q, r, s, t are distinct primes). A190111

Triangle read by rows, Lah numbers of order 2, T(n,n) = 1, T(n,k) = 0 if k<0 or k>n, otherwise T(n,k) = T(n-1,k-1)+((n-1)²+k²)*T(n-1,k), for n>=0 and 0<=k<=n. A268434

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|>=|y-z|. A212682

Number A(n,k) of solid standard Young tableaux of shape [[(n)^k+1],[n]^k]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A214631

Least number, m, such that m² is expressible in just n ways as (p+1)(q+1) where p and q are distinct primes. A274877

a(n) = 30*(n+1)*binomial(n+4,10). A27806

Numbers k such that φ(prime(k) + 1) == 0 (mod k). A67732

Composite numbers such that the square root of the sum of squares of their prime factors is a prime. A134607

Square array read by antidiagonals arising in the enumeration of corners. A259101