Properties of the Number 87001

Eighty-Seven Thousand One

Basics

Value: 87000 → 87001 → 87002

Parity: odd

Prime: No

Previous Prime: 86993

Next Prime: 87011

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 19 ² × 241

Divisors: 1, 19, 241, 361, 4579, 87001

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10101001111011001

Octal: 251731

Duodecimal: 42421

Hexadecimal: 153d9

Square: 7569174001

Square Root: 294.95931922894044

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

Number of different fixed (possibly) disconnected tetrominoes bounded tightly by an n X n square. A163434

Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero. A203286

a(n) = n²*(2·n² + 1)/3. A71270

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 1, 1)}. A149681

T(n,m)=Number of (n+1)X5 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A189174

Reversal of σ(n) equals the sum of the reversals of the divisors of n. A203615

Left half of periodic part of decimal expansion of 1/p for those primes having a periodic part of even length. A87001

T(n,m)=Number of (n+1)X3 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A190023