10368
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 30855
- Proper Divisor Sum (Aliquot Sum)
- 20487
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 11
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=47A000423
- a(n+1) = a(n)(a(0) + ... + a(n)).at n=5A001697
- Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=18A005934
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=17A008654
- Expansion of tan(sinh(x))*exp(x).at n=8A009681
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=68A011911
- a(n) = n^2*(n-1)^3/4.at n=9A019584
- Number of divisors of A019505(n).at n=49A020697
- Numbers of form 2^i*6^j, with i, j >= 0; equivalently, numbers of the form 2^i*3^j with 0 <= j <= i.at n=44A025610
- Numbers of form 2^i*9^j, with i, j >= 0.at n=37A025611
- Numbers of form 6^i*8^j, with i, j >= 0.at n=16A025627
- Theta series of 8-d 6-modular lattice G_2 tensor F_4 (or A_2 tensor D_4) with det 1296 and minimal norm 4 in powers of q^2.at n=13A028977
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 9 (most significant digit on left).at n=23A029454
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 15 (most significant digit on right).at n=15A029508
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=54A031366
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=70A031366
- Numbers whose set of base-15 digits is {1,3}.at n=23A032922
- Numbers k of the form 2^i*3^j, where i and j >= 1.at n=45A033845
- Coordination sequence for lattice D*_72 (with edges defined by l_1 norm = 1).at n=2A035821
- Coordination sequence for diamond structure D^+_72. (Edges defined by l_1 norm = 1.)at n=2A035912