Properties of the Number 99902

Ninety-Nine Thousand Nine Hundred Two

Basics

Value: 99901 → 99902 → 99903

Parity: even

Prime: No

Previous Prime: 99901

Next Prime: 99907

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 19 × 239

Divisors: 1, 2, 11, 19, 22, 38, 209, 239, 418, 478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011000111110

Octal: 303076

Duodecimal: 49992

Hexadecimal: 1863e

Square: 9980409604

Square Root: 316.07277642973304

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 n X 2 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229422

Suppose you take the ten digits 0..9, arrange them in any order and then either concatenate adjacent ones or separate them with a plus or minus sign, e.g., 98-76+5-4-32+10 or 9-8-765+3041-2. The first expression totals to "1", the second example totals to "2275". This sequence lists the positive integers that cannot be expressed in this way. A108224

Multiplies by 2 and shifts right under the XOR BINOMIAL transform (A099901). A99902

A triangular sequence of polynomial coefficients: p(x,n)=If[n == 0, xⁿ - x^Floor[(n - 1)/2]*Sum[x^m, {m, 0, n - Floor[(n - 1)/2] - 1}] + 1/x, xⁿ - x^Floor[(n - 1)/2]*Sum[x^m, {m, 0, n - Floor[(n - 1)/2] - 1}] + 1]. A152065