3528
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
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 11115
- Proper Divisor Sum (Aliquot Sum)
- 7587
- 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
- 1008
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 30
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*n^2.at n=42A001105
- sigma_3(n): sum of cubes of divisors of n.at n=14A001158
- Expansion of 8-dimensional cusp form.at n=15A002408
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=20A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=20A002706
- McKay-Thompson series of class 6c for Monster.at n=15A007262
- Fourier coefficients of E_{infinity,4}.at n=15A007331
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=42A008084
- Coordination sequence T9 for Zeolite Code EUO.at n=37A008104
- Coordination sequence T3 for Zeolite Code THO.at n=42A008240
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=14A008457
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T2 atom.at n=11A019133
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=27A020333
- Theta series of A*_8 lattice.at n=25A023920
- Triangle read by rows: T(n, k) = (k+1)*A132393(n+1, k+1), for 0 <= k <= n.at n=22A028421
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=39A028627
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=40A031366
- Numbers k such that 43*2^k+1 is prime.at n=16A032371
- Duplicate of A008084.at n=42A033598
- Multiplicity of highest weight (or singular) vectors associated with character chi_140 of Monster module.at n=36A034528