10618
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15930
- Proper Divisor Sum (Aliquot Sum)
- 5312
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5308
- Möbius Function
- 1
- Radical
- 10618
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=7A020404
- a(n) = Sum_{k=1..n} phi(k)^2.at n=41A057434
- Sum of composite numbers less than n-th prime.at n=37A079725
- a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=1, a(2)=3.at n=37A104803
- Numbers n with property that (n+1)*prime(n+1)-n*prime(n) is a perfect square s^2.at n=27A181283
- 1/16 the number of (n+1) X 9 0..3 arrays with all 2 X 2 subblocks having the same four values.at n=10A184038
- Number of 2X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 2 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=17A192698
- Number of rich binary words of length n.at n=14A216264
- Numbers n such that 8^n + 3 is prime.at n=22A217354
- Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is not a part.at n=37A241449
- Table T(n,k) read by antidiagonals. T(n,k) is the minimum value of Sum_{i=1..n} Product_{j=1..k} r_j[i] where each r_j is a permutation of {1..n}.at n=70A260355
- a(n) is the minimal value of Sum_{i=1..n} Product_{j=1..8} r_j(i), where each r_j is a permutation of {1,2,...,n}.at n=4A260359
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 547", based on the 5-celled von Neumann neighborhood.at n=21A272840
- Number of connected simple weakly perfect graphs on n vertices.at n=7A287009
- Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth.at n=43A290154
- Expansion of Sum_{n>=1} q^(n*(n-1)) / (1-q)^n.at n=37A321481
- Number of maximal subsets of {1..n} containing no products of distinct elements.at n=39A325710
- Number of compositions of n whose non-adjacent parts are strictly decreasing.at n=35A333193