Properties of the Number 78244

Seventy-Eight Thousand Two Hundred Forty-Four

Basics

Value: 78243 → 78244 → 78245

Parity: even

Prime: No

Previous Prime: 78241

Next Prime: 78259

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 31 × 631

Divisors: 1, 2, 4, 31, 62, 124, 631, 1262, 2524, 19561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000110100100

Octal: 230644

Duodecimal: 39344

Hexadecimal: 131a4

Square: 6122123536

Square Root: 279.7212898583159

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) = T(n,n-3), array T as in A055450. A55453

Consider the Diophantine equation x³ + y³ = z³ - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y. A50789

Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2. A178121

Expansion of 1/(1-2x-x²/(1-4x-3x²/(1-6x-5x²/(1-8x-7x²/(1-...))))) (continued fraction). A178119

Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n+2)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1, P(1,x)=x-1. A185997

Expansion of 1/(1-x-x²/(1-2x-3x²/(1-4x-5x²/(1-6x-7x²/(1-8x-9x²/(1-...)))))) (continued fraction). A185998

Numbers k such that 223·2^k+1 is prime. A32488

Arises in covering a graph by forests and a matching. A179259

Number of "forceless" (or "useless") sequences in n-column Nonogram puzzle. A304179

Sum array of Catalan numbers (A000108) read by upward antidiagonals. A106534