4242
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9792
- Proper Divisor Sum (Aliquot Sum)
- 5550
- 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
- 1200
- Möbius Function
- 1
- Radical
- 4242
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 108
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=39A002134
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=41A002569
- a(n) = Fibonacci(n+1) + prime(n).at n=17A004398
- Number of nonseparable rooted toroidal maps with n + 3 edges and n + 1 vertices.at n=5A006408
- Coordination sequence T1 for Zeolite Code MOR.at n=42A008182
- Molien series for A_10.at n=31A008633
- Number of partitions of n into at most 10 parts.at n=31A008639
- Pisot sequence T(2,5), a(n) = floor(a(n-1)^2/a(n-2)).at n=9A018914
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=41A020338
- Number of partitions of n into 10 unordered relatively prime parts.at n=31A023030
- n written in fractional base 6/4.at n=26A024637
- Number of partitions of n in which the greatest part is 10.at n=41A026816
- Numbers k such that k^2 is palindromic in base 13.at n=19A029998
- Multiplicity of highest weight (or singular) vectors associated with character chi_21 of Monster module.at n=37A034409
- Dirichlet convolution of Fibonacci numbers with Primes (with 1).at n=18A034746
- Numbers having three 2's in base 8.at n=28A043431
- Numbers with exactly 4 distinct palindromic prime factors.at n=7A046402
- Coordination sequence T2 for Zeolite Code ASV.at n=46A057311
- Number of 3-bead necklaces where each bead is an unlabeled rooted tree, by total number of nodes.at n=11A059221
- Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap.at n=12A060495