10678
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16920
- Proper Divisor Sum (Aliquot Sum)
- 6242
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- -1
- Radical
- 10678
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(1) = 1; a(n+1) = floor((sum{k=1 to n} a(k)^3)^(1/3)).at n=48A016085
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=37A018227
- Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function.at n=22A079630
- Number of partitions of n into parts with at most one 1 and at most one 2.at n=43A121081
- Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 7 and every element equal to at least one neighbor.at n=2A146202
- a(n) = 9*n^2 - 10*n + 3.at n=35A154262
- Total number of positive integers below 10^n requiring 3 positive cubes in their representation as sum of cubes.at n=4A181377
- Number of n X 4 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing.at n=8A223766
- Triangle read by rows, coefficients of the generalized Eulerian polynomials A_{n, 3}(x) in descending order.at n=18A225117
- a(n) = (1/24)*(n + 3)*(3*n^3 + 5*n^2 - 6*n + 16).at n=15A290061
- Number of integer partitions of n whose product is a powerful number.at n=40A330106
- Row sums of the triangular array A357431.at n=34A357417