Properties of the Number 7109

Seven Thousand One Hundred Nine

Basics

Value: 7108 → 7109 → 7110

Parity: odd

Prime: Yes

Previous Prime: 7103

Next Prime: 7121

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7109

Divisors: 1, 7109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111000101

Octal: 15705

Duodecimal: 4145

Hexadecimal: 1bc5

Square: 50537881

Square Root: 84.31488599292535

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of refinement-ordered pairs of strict integer partitions of n. A317142

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows. A157272

Primes with first digit 7. A45713

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Primes congruent to 2 mod 23. A141908

Larger of two consecutive prime numbers such that p1·p2·d + d = average of twin prime pairs, d (δ) = p2 - p1. A153377

Primes of the form x³ + 2y³, with x,y >0. A173587

Prime numbers containing the string 10. A166571

T(n,k)=Number of length n+1 0..k arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250167

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252352