Properties of the Number 78679

Seventy-Eight Thousand Six Hundred Seventy-Nine

Basics

Value: 78678 → 78679 → 78680

Parity: odd

Prime: No

Previous Prime: 78653

Next Prime: 78691

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 19 × 41 × 101

Divisors: 1, 19, 41, 101, 779, 1919, 4141, 78679

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001101010111

Octal: 231527

Duodecimal: 39647

Hexadecimal: 13357

Square: 6190385041

Square Root: 280.4977718271573

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302472

T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303254

Number of ways two L-tiles can be placed on an n X n square. A243645

Number of 4 X n 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302474

Number of nX6 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302470

Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303252

a(n) = [[(k²)*n]-(k*[k·n])], where k = sqrt(2) and [] is the floor function. A59648

Number of Grand Motzkin paths of length n with no zigzags, that is with no factors UDU and DUD. A78679

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297429