Properties of the Number 85569

Eighty-Five Thousand Five Hundred Sixty-Nine

Basics

Value: 85568 → 85569 → 85570

Parity: odd

Prime: No

Previous Prime: 85549

Next Prime: 85571

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 2593

Divisors: 1, 3, 11, 33, 2593, 7779, 28523, 85569

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111001000001

Octal: 247101

Duodecimal: 41629

Hexadecimal: 14e41

Square: 7322053761

Square Root: 292.52179405986146

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

Matrix square of triangle A121412. A121416

Column 0 of triangle A121416. A121418

a(n) = n*(5·n²-8·n+5)/2. A226449

Rectangular table, read by antidiagonals, where row n is equal to column 0 of matrix power A121412ⁿ⁺¹ for n>=0. A121424

Number of subpartitions of partition P=[0,1,1,2,2,2,3,3,3,3,4,...] (A003056). A121430

Square array, read by antidiagonals, where T(n,k) = T(n,k-1) + T(n-1,k+n) for n>0, k>0, such that T(n,0) = T(n-1,n) for n>0 with T(0,k)=1 for k>=0. A136733

Draw a line through every pair of points with coordinates (x, 1) and (x', 2) with x, x' in 1..n, and then count the number of intersection points above the line y = 2. A92275

Column 2 of triangular matrix T=A101479, in which row n equals row (n-1) of T^n-1 followed by '1'. A101483

Denominator of 2·Sum(C(n,w)/(2·w+1),w=0..n/2-1)+C(n,n/2)/(n+1) if n is even, or of 2·Sum(C(n,w)/(2·w+1),w=0..(n-1)/2) if n is odd. A85569