Properties of the Number 3105

Three Thousand One Hundred Five

Basics

Value: 3104 → 3105 → 3106

Parity: odd

Prime: No

Previous Prime: 3089

Next Prime: 3109

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 23

Divisors: 1, 3, 5, 9, 15, 23, 27, 45, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000100001

Octal: 6041

Duodecimal: 1969

Hexadecimal: c21

Square: 9641025

Square Root: 55.72252686302013

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Numbers that are the sum of 5 positive 5th powers. A3350

Fourth spoke of a hexagonal spiral. A56108

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

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

a(n) = 3a(n-1) + 3a(n-2). a(0) = 1, a(1) = 4. A125145

a(n) = n*(14·n-3). A185019

Fibonacci sequence beginning 2, 7. A22113

Numbers k for which nontrivial positive magic squares of exactly 7 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125014

Triangle read by rows of the numbers T(n,k) (n > 1, 0 < k < n) of set partitions of n of length k which do not have a proper subset of parts with a union equal to a subset {1,2,...,j} with j < n. A87903