Properties of the Number 77955

Seventy-Seven Thousand Nine Hundred Fifty-Five

Basics

Value: 77954 → 77955 → 77956

Parity: odd

Prime: No

Previous Prime: 77951

Next Prime: 77969

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 5197

Divisors: 1, 3, 5, 15, 5197, 15591, 25985, 77955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010000011

Octal: 230203

Duodecimal: 39143

Hexadecimal: 13083

Square: 6076982025

Square Root: 279.20422632904393

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..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241283

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 133", based on the 5-celled von Neumann neighborhood. A286020

p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = 1 - S⁵. A291724

Difference between the sum of odd parts and the sum of even parts in all the partitions of n. A208477

Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241280

Number of nX6 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317739

Number of 6Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241288

G.f. A(x) satisfies A(x) = 1 + x*(A(x)² - A(x)³ + A(x)⁴). A219537

Index of matching grid point in the bijection between two infinite triangular grids with one grid rotated by π/6 around the common point (0,0), using an enumeration of the grid points by A307014 and A307016. A367147

Expansion of 1/(1-x+2·x²+x³). A77955