Properties of the Number 85500

Eighty-Five Thousand Five Hundred

Basics

Value: 85499 → 85500 → 85501

Parity: even

Prime: No

Previous Prime: 85487

Next Prime: 85513

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ³ × 19

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110111111100

Octal: 246774

Duodecimal: 41590

Hexadecimal: 14dfc

Square: 7310250000

Square Root: 292.4038303442689

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

Triangle read by rows: T(n,k) is the number of oriented colorings of the edges of a regular n-dimensional simplex using exactly k colors. Row n has (n+1)*n/2 columns. A327087

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s. A296834

Expansion of η(q)² / (η(q²) * η(q⁴)⁶) in powers of q. A134414

Triangle read by rows: T(n,k) is the number of oriented colorings of the faces (and peaks) of a regular n-dimensional simplex using exactly k colors. Row n has C(n+1,3) columns. A338113

Expansion of x·log'(((1-sqrt(1-4·x))/2-sqrt(((-sqrt(1-4·x)-11)*(1-sqrt(1-4·x)))/4+1)+1)/4). A243644

a(n) = ∑_d∣n d^d * binomial(n/d,d). A376014

Consider numbers x,y,z such that UnitarySigma(x) = UnitarySigma(y) = UnitarySigma(z) = 4*(x·y*z)^1/2/( x^1/2 + y^1/2 + z^1/2), x<=y<=z . Sequence gives x . A144949

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0)-steps at positive heights) having no UDU's, where U=(1,1) and D=(1,-1). A191317

Number of -n..n arrays x(0..4) of 5 elements with zero sum and no two or three adjacent elements summing to zero. A200432

Number of nX5 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s. A296831