3420
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 10920
- Proper Divisor Sum (Aliquot Sum)
- 7500
- 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
- 864
- Möbius Function
- 0
- Radical
- 570
- 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
- 56
- 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
- Orders of noncyclic simple groups (without repetition).at n=8A001034
- Number of two-element generating sets in the symmetric group S_n.at n=4A001691
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=18A001766
- Coordination sequence T2 for Zeolite Code VFI.at n=45A008246
- Triangle of numbers of hybrid rooted trees (divided by Fibonacci numbers).at n=40A011274
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DAC = Dachiardite Na5[Al5Si19O48].12H2O starting with a T3 atom.at n=11A019104
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=15A020875
- a(n) = n*(19*n - 1)/2.at n=19A022276
- Expansion of Product_{m>=1} (1 + m*q^m)^2.at n=11A022630
- Number of partitions of n into 7 unordered relatively prime parts.at n=35A023027
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=43A024927
- a(n) = n*(n+1)*(n+2)/2.at n=18A027480
- Expansion of 1/(1 - 3*x - x^2 + x^3).at n=7A033505
- a(n) = lcm(n,n+1,n+2).at n=17A033931
- Number of partitions in parts not of the form 13k, 13k+3 or 13k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=32A035951
- Numerators of continued fraction convergents to sqrt(142).at n=5A041260
- Numerators of continued fraction convergents to sqrt(916).at n=6A042770
- Numbers whose base-15 representation has exactly 4 runs.at n=28A043671
- Numbers k such that the string 6,2 occurs in the base 9 representation of k but not of k-1.at n=46A044307
- Numbers n such that string 2,0 occurs in the base 10 representation of n but not of n-1.at n=38A044352