Properties of the Number 86772

Eighty-Six Thousand Seven Hundred Seventy-Two

Basics

Value: 86771 → 86772 → 86773

Parity: even

Prime: No

Previous Prime: 86771

Next Prime: 86783

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 1033

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001011110100

Octal: 251364

Duodecimal: 42270

Hexadecimal: 152f4

Square: 7529379984

Square Root: 294.57087432399015

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

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A80858

Expansion of 1/((1-2x)(1-3x)(1-4x)(1-7x)). A25445

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 1), (1, 0, 0), (1, 1, 0)}. A150311

G.f. A(x) satisfies: [xⁿ⁺¹] A(x)ⁿ = n*([x^n-1] A(x)ⁿ) for n>=1. A245310

Store the natural numbers in a triangular array such that values on each row have the same number of bits. Start a new row with the smallest number not yet recorded. a(n) represents the initial terms in the resulting array. A86772

Number of (2+1)X(n+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A251039