4220
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8904
- Proper Divisor Sum (Aliquot Sum)
- 4684
- 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
- 1680
- Möbius Function
- 0
- Radical
- 2110
- Omega Function (Ω)
- 4
- 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
- 170
- 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
- Coordination sequence T2 for Zeolite Code PHI.at n=47A008228
- Coordination sequence for alpha-Mn, Position Mn2.at n=17A009951
- Expansion of Product_{m>=1} (1+q^m)^(-3).at n=30A022598
- Strings giving winning positions in Tchoukaillon (or Mancala) solitaire.at n=8A028931
- Expansion of sum ( q^n / product( 1-q^k, k=1..4*n), n=0..inf ).at n=24A035296
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-2)/3.at n=21A048023
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-3)/3.at n=21A048034
- Numbers k such that the sum of the first k composite numbers is palindromic.at n=10A053779
- Number of primitive (period n) bracelets using a maximum of six different colored beads.at n=5A056347
- Number of primitive (period n) step cyclic shifted sequences using a maximum of six different symbols.at n=5A056423
- Numbers k that, when expressed in base 4 and then interpreted in base 7, give a multiple of k.at n=8A062922
- Nonprimes which terminate in their sum of prime factors.at n=25A071173
- Maximum number of regions into which the plane is divided by n triangles.at n=38A077588
- Factorial expansions of the entries in A085219.at n=40A085221
- Factorial expansions of the entries in A085220.at n=40A085222
- Numbers that have the same number of divisors as their digit reversal, but with different prime signatures.at n=42A087093
- McKay-Thompson series of class 32a for the Monster group.at n=30A107635
- Number of binary rooted trees with n nodes and internal path length n.at n=39A108643
- Number of partitions of n in which each part, with the possible exception of the largest, occurs at least three times.at n=45A116932
- Number of (directed) Hamiltonian circuits on the n-antiprism graph.at n=9A124353