Properties of the Number 22105

Twenty-Two Thousand One Hundred Five

Basics

Value: 22104 → 22105 → 22106

Parity: odd

Prime: No

Previous Prime: 22093

Next Prime: 22109

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 4421

Divisors: 1, 5, 4421, 22105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011001011001

Octal: 53131

Duodecimal: 10961

Hexadecimal: 5659

Square: 488631025

Square Root: 148.67750334196495

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. satisfies: A(x) = 1/(1 + x·A(x⁵)) and also the continued fraction: 1+x·A(x⁶) = [1;1/x,1/x⁵,1/x²⁵,1/x¹²⁵,...,1/x^{5^(n-1}),...]. A101915

a(n) = F(n+1)³ - 3·F(n-1)*F(n)², where F(n) = A000045(n), the n-th Fibonacci number. A318376

Partials sums of the cubefull numbers (A036966). A362971

a(0) = 1, a(n) = 23·n² + 2 for n>0. A10013

Numerator sequence of mean length of certain stackings of n+1 squares on a double staircase. A55245

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293057

Number of n X 4 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A305178

Number of 1's in n-th term of A022482. A22484

Rectangular array R read by antidiagonals: R(n,k) = F(n+1)^k - k·F(n-1)*F(n)^k-1, where F(n) = A000045(n), the n-th Fibonacci number; n >= 0, k >= 1. A318405

Fibonacci sequence beginning 1, 15. A22105