8460
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
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 17748
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2208
- Möbius Function
- 0
- Radical
- 1410
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers whose set of base-7 digits is {3,4}.at n=37A032831
- Denominators of continued fraction convergents to sqrt(33).at n=11A041055
- Square array of lambda(k,n), where lambda is defined in A055203. Number of ways of placing n identifiable positive intervals with a total of exactly k starting and/or finishing points.at n=59A059117
- Sixth column (r=5) of FS(3) staircase array A062745.at n=11A062749
- Expansion of (1-x)/(1+x+2*x^2).at n=26A078050
- a(n) is the smallest number greater than a(n-1) such that in a(0) through a(n) no digit occurs more than once more than any other digit.at n=30A095204
- A transform of the Pell numbers.at n=10A099626
- Number of circular sequences of distinct positive integers between 1 and n such that the sum of any two consecutive elements is at least n+1.at n=10A108693
- {a(4,n)}, where a(m,n) is as defined in sequence A110576.at n=7A110580
- Triangle T(n,k) of number of loopless multigraphs with n labeled edges and k labeled vertices and without isolated vertices, n >= 1; 2 <= k <= 2*n.at n=13A122193
- Larger member of an infinitary amicable pair.at n=4A126170
- Infinitary amicable numbers.at n=9A127664
- Triangle T, read by rows, where row n+1 of T = row n of T^(2n-1) with appended '1' for n>=0 with T(0,0)=1.at n=22A132615
- Column 1 of triangle A132615.at n=5A132617
- Expansion of chi(-q^5) / chi(-q)^5 in powers of q where chi() is a Ramanujan theta function.at n=11A132985
- a(n) = (2*n)^2 - 4.at n=45A134582
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10.at n=15A135195
- Number of ways to place zero or more nonadjacent 1,1 2,1 2,2 3,0 3,1 3,2 3,3 4,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155355
- a(n) = 16*n^2 - 4.at n=22A158443
- Number of symmetry classes of 3 X 3 magilatin squares with positive values < n.at n=16A173729