Properties of the Number 7107

Seven Thousand One Hundred Seven

Basics

Value: 7106 → 7107 → 7108

Parity: odd

Prime: No

Previous Prime: 7103

Next Prime: 7109

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 103

Divisors: 1, 3, 23, 69, 103, 309, 2369, 7107

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111000011

Octal: 15703

Duodecimal: 4143

Hexadecimal: 1bc3

Square: 50509449

Square Root: 84.303024856763

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

Number of integer partitions of n containing no prime indices of the parts. A324756

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

STIRLING transform of [1,1,2,4,8,16,32,...]. A35009

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

a(n) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)³: a(n) = A078898(A030078(n)). A250474

Nonprimes k such that 3^k == 3 (mod k). A122780

30-gonal numbers: a(n) = n*(14·n-13). A254474

Pseudoprimes to base 10. A5939

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049