Properties of the Number 9100

Nine Thousand One Hundred

Basics

Value: 9099 → 9100 → 9101

Parity: even

Prime: No

Previous Prime: 9091

Next Prime: 9103

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 7 × 13

Divisors: 1, 2, 4, 5, 7, 10, 13, 14, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001100

Octal: 21614

Duodecimal: 5324

Hexadecimal: 238c

Square: 82810000

Square Root: 95.39392014169457

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

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

Unitary harmonic numbers (those for which the unitary harmonic mean is an integer). A6086

Take solution to Pellian equation x² - n·y² = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x. A2349

Number of integer partitions of n whose distinct parts are pairwise coprime. A304709

a(n) = n*(n+4)*(n+5)/6. A5586

Smallest positive integer y satisfying the Pell equation x² - D·y² = 1 for nonsquare D. A33317

Infinitary harmonic numbers: harmonic mean of infinitary divisors is an integer. A63947

Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero. A256879

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

5 times pentagonal numbers: 5·n*(3·n-1)/2. A152734