Properties of the Number 77280

Seventy-Seven Thousand Two Hundred Eighty

Basics

Value: 77279 → 77280 → 77281

Parity: even

Prime: No

Previous Prime: 77279

Next Prime: 77291

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 × 23

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110111100000

Octal: 226740

Duodecimal: 38880

Hexadecimal: 12de0

Square: 5972198400

Square Root: 277.9928056623049

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

Values of y such that x² + y² = 17ⁿ with·and y coprime and 0 < x < y. A230623

Number of labeled n-node 4-valent graphs containing a loop. A58836

Regular triangle where T(n,k) is the number of pairs of set partitions of {1,...,n} with join {{1,...,n}} and meet of length k. A318390

Number of equilateral triangles formed by triples of points taken from a hexagonal chunk of side n in the hexagonal lattice. A8893

Numbers with prime factorization pqrst⁵. A190383

a(n) = 17ⁿ sin(2n arctan(1/4)) or numerator of tan(2n arctan(1/4)). A67360

p-INVERT of the positive integers, where p(S) = 1 - 5·S. A290903

Total number of inversions in all permutations of order n consisting of a single cycle. A227404

Square array A(n,k) = A388979(A388981(n, k)), read by descending antidiagonals. A389169

Triangle read by rows: T(n,k) = ∑_j=0..k (-1)^k-j * binomial(k,j) * (3+j)ⁿ. A391552