Properties of the Number 85561

Eighty-Five Thousand Five Hundred Sixty-One

Basics

Value: 85560 → 85561 → 85562

Parity: odd

Prime: No

Previous Prime: 85549

Next Prime: 85571

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 17 × 719

Divisors: 1, 7, 17, 119, 719, 5033, 12223, 85561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000111001

Octal: 247071

Duodecimal: 41621

Hexadecimal: 14e39

Square: 7320684721

Square Root: 292.5081195454239

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

Structured meta-anti-prism numbers, the n-th number from a structured n-gonal anti-prism number sequence. A100185

Floor of sums of the cubes of the non-integer square roots of n, as partitioned by the integer roots: floor(∑_{j=n²+1..(n+1)²-1} j^3/2). A247112

Number of compositions (ordered partitions) of n such that some part is repeated consecutively 5 times and no part is repeated consecutively more than 5 times. A91619

Number of growing self-avoiding walks of length n on a half-infinite strip of height 7 with a trapped endpoint. A374305

Number of (n+4) X 9 0..2 matrices with each 5 X 5 subblock idempotent. A224622

a(0)=0, a(1)=1, a(n) = min{4 a(k) + (4^n-k-1)/3, k=0..(n-1)} for n>=2. A259665

T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent. A224625

Number of prime divisors of the partition numbers (counted with multiplicity). A85561