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Properties of the Number 85480

Eighty-Five Thousand Four Hundred Eighty

Basics

Value: 85479 → 85480 → 85481

Parity: even

Prime: No

Previous Prime: 85469

Next Prime: 85487

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 3 × 5 × 2137

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 2137, 4274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100110111101000

Octal: 246750

Duodecimal: 41574

Hexadecimal: 14de8

Square: 7306830400

Square Root: 292.3696290656743

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

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero. A189498
T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2, and no two consecutive rises or falls in the latter permutation. A229717
a(n) = Sumk k·A333274(n,k). A333276
Consider all integer triples (i,j,k), j,k>0, with i3=j3+binomial(k+2,3), ordered by increasing i; sequence gives i values. A54234
Number of arrangements of n+1 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero. A189490
Number of arrangements of n+1 nonzero numbers x(i) in -5..5 with the sum of floor(x(i)/x(i+1)) equal to zero. A189494
Number of arrangements of 6 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero. A189502
Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive). A74814
Number of arrays of length n that are sums of 4 consecutive elements of length n+3 permutations of 0..n+2, and no two consecutive rises or falls in the latter permutation. A229714
Expansion of 3·x*(1+2·x)/(1-3·x-3·x2). A85480