Properties of the Number 7105

Seven Thousand One Hundred Five

Basics

Value: 7104 → 7105 → 7106

Parity: odd

Prime: No

Previous Prime: 7103

Next Prime: 7109

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 ² × 29

Divisors: 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111000001

Octal: 15701

Duodecimal: 4141

Hexadecimal: 1bc1

Square: 50481025

Square Root: 84.29116205154607

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

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S - S². A291382

Odd octagonal numbers: (2n+1)*(6n+1). A14641

Number of primes between n·100000 and (n+1)*100000. A38825

a(n) = (n + 3)*(n² + 6·n + 2)/6. A5286

a(n) = 7·binomial(6·n + 7, n)/(6·n + 7). A233743

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+sqrt(1-4·x))), (1-2·x-sqrt(1-4·x))/(2·x) ). A373744

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A83029

Numbers whose square can be represented in exactly two ways as the sum of a positive square and a positive fourth power. A345700

Number of partitions of {1...n} containing 3 detached pairs of consecutive integers, i.e., partitions in which only 1- or 2-strings of consecutive integers can appear in a block and there are exactly three 2-strings. A105489

Sum of prime divisors of n (with repetition) is one less than the sum of prime divisors (with repetition) of n+1. A228126