8613
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 5787
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 957
- Omega Function (Ω)
- 5
- 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
- 78
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among triples.at n=20A015646
- a(n) = n*(2*n+5)*(2*n+7).at n=11A035329
- a(n)=T(n,n+2), array T as in A049735.at n=36A049742
- Numbers k such that k | 4^k + 3^k + 2^k.at n=13A057238
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=51A063381
- a(n) = 11*n^2 + 22*n.at n=26A067705
- a(n) = n*(8*n - 3).at n=33A139273
- Zero followed by partial sums of A059100, starting at n=1.at n=29A145068
- 3 times 9-gonal (or nonagonal) numbers: a(n) = 3*n*(7*n-5)/2.at n=29A152759
- Numbers of espalier polycubes of a given volume in dimension 4.at n=22A229917
- Number of n X n 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=4A230657
- Number of n X 5 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=4A230659
- T(n,k)=Number of nXk 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=40A230661
- Number of partitions of n containing m(1) as a part, where m denotes multiplicity.at n=37A240486
- Numbers k such that k!6 + 8 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=13A288152
- Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.at n=11A305342
- Expansion of 1/(1 - x/(1 - 1*2*x/(1 - 2*3*x/(1 - 3*4*x/(1 - 4*5*x/(1 - ...)))))), a continued fraction.at n=5A305532
- a(n) = (1/n) * Sum_{k=1..n} k * lcm(k,n).at n=32A344509
- a(n) = Sum_{k=1..n} phi(k) * (floor(n/k)^3 - floor((n-1)/k)^3).at n=44A344599
- Number of vertices formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts.at n=23A355949