Properties of the Number 10679

Ten Thousand Six Hundred Seventy-Nine

Basics

Value: 10678 → 10679 → 10680

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 59 × 181

Divisors: 1, 59, 181, 10679

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110110111

Octal: 24667

Duodecimal: 621B

Hexadecimal: 29b7

Square: 114041041

Square Root: 103.33924714260309

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

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 nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A298280

Minimal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}. A110611

Positions of 3's in A234323. A234804

a(n) = ∑_k=1..n C(n, floor(n/k)). A51054

Numbers k such that k and 8·k, taken together, are pandigital. A114126

Numbers k such that sopfr(k) = sopfr(k + sopfr(k)). A50780

Numbers k such that k² contains only digits {0,1,4}, not ending with zero. A58413

Finite sum involving signless Stirling numbers of the first kind and the Bell numbers. Appears in the process of normal ordering of n-th power of (a)⁴*(a+*a), where a+ and a are boson creation and annihilation operators, respectively. A121631

Binomial transform of generalized Jacobsthal numbers A084170. A84171