Properties of the Number 9107

Nine Thousand One Hundred Seven

Basics

Value: 9106 → 9107 → 9108

Parity: odd

Prime: No

Previous Prime: 9103

Next Prime: 9109

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 1301

Divisors: 1, 7, 1301, 9107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110010011

Octal: 21623

Duodecimal: 532B

Hexadecimal: 2393

Square: 82937449

Square Root: 95.43060305792896

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

Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers. A69755

T(n,k) = Equals two maps: number of n X k binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..3 n X k array. A221290

Triangle of column sequences with a certain o.g.f. pattern. A112500

T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..2 nXk array. A220935

Composite numbers such that exactly ten distinct permutations of digits are prime. A163562

Number of permutations of length n which avoid the patterns 1324, 3421, 4123. A116832

a(n) = (n+1)*(6·n⁴ - 51·n³ + 161·n² - 251·n + 251). A165281

Least k>0 such that (p·2^k-1)/3 is prime, or zero if no k exists, where p=prime(n). A177330

If, for some m, A098550(m-2) is a prime p and A098550(m) = 7p, add 7p to the sequence. A253054

G.f. A(x) satisfies: (1 + x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307649