10679
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10920
- Proper Divisor Sum (Aliquot Sum)
- 241
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10440
- Möbius Function
- 1
- Radical
- 10679
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that sopfr(k) = sopfr(k + sopfr(k)).at n=18A050780
- a(n) = Sum_{k=1..n} C(n, floor(n/k)).at n=15A051054
- Numbers k such that k^2 contains only digits {0,1,4}, not ending with zero.at n=11A058413
- Binomial transform of generalized Jacobsthal numbers A084170.at n=8A084171
- 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}.at n=38A110611
- Semiprimes n such that 3*n + 4 is a square.at n=21A112666
- Numbers k such that k and 8*k, taken together, are pandigital.at n=6A114126
- 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.at n=4A121631
- Numbers k such that (k!-9)/9 is prime.at n=19A139204
- a(1)=1, a(n)=a(n-1)+n^2 if n odd, a(n)=a(n-1)+ n^0 if n is even.at n=38A140148
- Number of n X n binary arrays with all ones connected only in a 1000-1000-1111-0100 pattern in any orientation.at n=7A147115
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1000-1111-0100 pattern in any orientation.at n=16A147117
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1000-1111-0100 pattern in any orientation.at n=17A147117
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=28A153747
- Numbers n such that d(n + d(n)) = d(n), where d(n) is the sum of the distinct primes dividing n.at n=16A175760
- Number of 7-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=8A187512
- Expansion of (1+2*x)/(1-x^4-2*x^3-2*x^2-x).at n=11A190667
- Indices of record values in A216476.at n=22A216502
- a(n) = (6*n^2 + 7*n - 9 + 2*n^3)/12 - (-1)^n*(n+1)/4.at n=38A219527
- Positions of 3's in A234323.at n=10A234804