Properties of the Number 20106

Twenty Thousand One Hundred Six

Basics

Value: 20105 → 20106 → 20107

Parity: even

Prime: No

Previous Prime: 20101

Next Prime: 20107

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1117

Divisors: 1, 2, 3, 6, 9, 18, 1117, 2234, 3351, 6702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100111010001010

Octal: 47212

Duodecimal: B776

Hexadecimal: 4e8a

Square: 404251236

Square Root: 141.7956275771577

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

G.f. A(x) satisfies A(x) = (1 + x / A(x)^3/2) / (1 - x). A366404

Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A77405

a(n) = floor(surface area of a sphere with radius n). A66644

Number of irredundant sets in the n X n rook graph. A290586

Array read by antidiagonals: T(m,n) = number of irredundant sets in the lattice (rook) graph K_m X K_n. A290818

Number of permutations s₁,s₂,...,s_n of 1,2,...,n such that for all j=1,2,...,n, ∑_i=1..j s_i divides ∑_i=1..j s_i³. A291445

Number of squares of all sizes in 3·n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds. A258440

Number of permutations s₁,s₂,...,s_n of 1,2,...,n with s_n = n (if n>0) and such that for all j=1,2,...,n, ∑_i=1..j s_i divides ∑_i=1..j s_i³. A291518

Number of 5-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=5. A27560

Values of n such that N=(an+1)(bn+1)(cn+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,35. A64254