Properties of the Number 55105

Fifty-Five Thousand One Hundred Five

Basics

Value: 55104 → 55105 → 55106

Parity: odd

Prime: No

Previous Prime: 55103

Next Prime: 55109

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 103 × 107

Divisors: 1, 5, 103, 107, 515, 535, 11021, 55105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101000001

Octal: 153501

Duodecimal: 27A81

Hexadecimal: d741

Square: 3036561025

Square Root: 234.74454200257776

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

a(n) = 3ⁿ reduced modulo 2ⁿ. A2380

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north or southwest neighbors modulo n and the upper left element equal to 0. A267655

9ⁿ mod 4ⁿ. A139729

Number of nX6 arrays of permutations of 6 copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267740

Number of 6 X n arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any north or southwest neighbors modulo 6 and the upper left element equal to 0. A267658

Number of n X n arrays containing n copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267736

Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any west or northeast neighbors modulo 6 and the upper left element equal to 0. A267745

Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n). A55105

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267742

Decimal expansion of constant z = ∑_n>=1 {(3/2)ⁿ} * (2/3)ⁿ, where {x} is the fractional part of x. A264919