Properties of the Number 28101

Twenty-Eight Thousand One Hundred One

Basics

Value: 28100 → 28101 → 28102

Parity: odd

Prime: No

Previous Prime: 28099

Next Prime: 28109

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 19 × 29

Divisors: 1, 3, 17, 19, 29, 51, 57, 87, 323, 493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110111000101

Octal: 66705

Duodecimal: 14319

Hexadecimal: 6dc5

Square: 789666201

Square Root: 167.63352886579702

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

Expansion of x / ( (x-1)*(x³ - 9·x² + 6·x - 1) ). A94256

Partial sums of A007584. A51740

Number of walks of length 2n+7 in the path graph P₈ from one end to the other. A5023

Number of walks in the first quadrant starting and ending at (0,0) consisting of 3n steps taken from {E=(1, 0), D=(-1, 1), S=(0, -1)}, no S step occurring before the final E step. A274969

Least multiple of 2n-1 ending in prime(n), 0 if no such number exists. A114780

Composite squarefree numbers n such that p - τ(n) divides n - φ(n), where p are the prime factors of n, τ(n) = A000005(n) and φ(n) = A000010(n). A229323

Number of n X 7 binary arrays without the pattern 0 1 diagonally or vertically. A188841

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207786

Expansion of x*(1 + 4·x + x²)/((1 - x)⁵*(1 + x)⁴). A290055

Triangle read by rows: T(n, k) = binomial(2·k + n - 1, k - 2)*(n² - 2·k + n)/(k*(k - 1)) for k >= 2, T(n, 0) = 1 and T(n, 1) = n - 1. A387700