Properties of the Number 85280

Eighty-Five Thousand Two Hundred Eighty

Basics

Value: 85279 → 85280 → 85281

Parity: even

Prime: No

Previous Prime: 85259

Next Prime: 85297

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 × 13 × 41

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110100100000

Octal: 246440

Duodecimal: 41428

Hexadecimal: 14d20

Square: 7272678400

Square Root: 292.0273959751037

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

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253482

Rectangular array read by downward antidiagonals; row n consists of the numbers m such that n is the denominator of d(k)/d(1) + d(k-1)/d(2) + ... + d(k)/d(1), where d(1),d(2),...,d(k) are the unitary divisors of m. A305995

E.g.f. A(x) satisfies A(x) = log( 1 + x·cos(2·A(x)) ). A380555

Number of -n..n arrays x(0..3) of 4 elements with sum zero and with zeroth through 3rd differences all nonzero. A200040

Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253478

Number of (3+1)X(n+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253484

Number of positions of the 8 X 2 variant of the 15-puzzle at a distance of n multi-tile moves from an initial state with the empty square in one of the corners. A389729

Expansion of (1-4x+x²)/((1-x)(1-3x)(1-4x)). A85280

E.g.f. A(x) satisfies A(x) = real( 1 + x·A(x)^2·i ), where i² = -1. A380556