Properties of the Number 87781

Eighty-Seven Thousand Seven Hundred Eighty-One

Basics

Value: 87780 → 87781 → 87782

Parity: odd

Prime: No

Previous Prime: 87767

Next Prime: 87793

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 41 × 2141

Divisors: 1, 41, 2141, 87781

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011011100101

Octal: 253345

Duodecimal: 42971

Hexadecimal: 156e5

Square: 7705503961

Square Root: 296.27858511880333

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+1)⁵ - n⁵. A22521

Number of Young tableaux A(n,k) with n k-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing); square array A(n,k), n>=0, k>=0, read by antidiagonals. A208615

a(n) = 12ⁿ - 11ⁿ. A16197

Number of distinct sums <= 1 of distinct reciprocals of integers <= n. A212607

Number of Young tableaux with 3 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). A208616

Number of Young tableaux with n 6-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). A208626

a(n) = 12ⁿ mod 11ⁿ. A245805

Number of n-step self-avoiding walks on the half-Manhattan lattice with no non-contiguous adjacencies. A336726

Table read by rows: row n is the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A002378(n) and its long leg and hypotenuse are consecutive natural numbers. A385022

1/4 the number of n X n 0..3 symmetric matrices with every element equal to one, two, three or four horizontal and vertical neighbors. A211094