Properties of the Number 78705

Seventy-Eight Thousand Seven Hundred Five

Basics

Value: 78704 → 78705 → 78706

Parity: odd

Prime: No

Previous Prime: 78697

Next Prime: 78707

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 11 × 53

Divisors: 1, 3, 5, 9, 11, 15, 27, 33, 45, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011001101110001

Octal: 231561

Duodecimal: 39669

Hexadecimal: 13371

Square: 6194477025

Square Root: 280.5441141781449

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

a(n) = n*(2·n-1)*(2·n+1). A35328

Denominator of a-sequence for Sheffer triangle A060081. A176727

Triangle read by rows: T(n,k) is the number of up-down permutations of {1,2,...,n} having genus k (see first comment for definition of genus). A178516

From higher-order Bernoulli numbers: denominator of D Number D2n(2n). A261274

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Associated ω numbers of order 3, triangle T(n,k) read by rows for n >= 0 and 0 <= k <= n. A318255

Smallest fixed points (>0) of the base-2·n Kaprekar map. A319839

a(0)=1, a(n) = (3n-1)*3n*(3n+1)/2 for n>0. A157024

Nodes of tree generated as follows: (1,2) is an edge, and if (x,y) is an edge, then (y, y² - x²) and (y, y² + x²) are edges. A228940

Number of (n+1) X (3+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250724