4228
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8512
- Proper Divisor Sum (Aliquot Sum)
- 4284
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1800
- Möbius Function
- 0
- Radical
- 2114
- 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
- 82
- 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
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n}, each satisfying X + Y = Z.at n=17A002849
- Numbers that are the sum of 7 positive 6th powers.at n=35A003363
- Coordination sequence T1 for Zeolite Code MTN.at n=39A008186
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).at n=19A011932
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=43A015617
- Powers of fifth root of 3 rounded to nearest integer.at n=38A018121
- Powers of fifth root of 3 rounded up.at n=38A018122
- Powers of fifth root of 9 rounded to nearest integer.at n=19A018139
- Powers of the fifth root of 9 rounded up.at n=19A018140
- Coordination sequence T2 for Zeolite Code CGF.at n=45A019452
- Coordination sequence T2 for Zeolite Code CZP.at n=42A019457
- a(n) = 2*a(n-1) + 2*a(n-2) - 3*a(n-3), with a(0) = 2, a(1) = 5, a(2) = 12.at n=9A019485
- Conjecturally, number of infinitely recurring prime patterns of width 2n-1.at n=22A023189
- T(2n,n-2), T given by A026659.at n=5A026662
- Numbers k such that k*(3k-1)/2 is a pentagonal palindrome.at n=9A028386
- Numbers having period-6 5-digitized sequences.at n=26A031190
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=24A045035
- A simple grammar: power set of pairs of sequences.at n=20A052812
- Numbers k such that k | sigma_5(k).at n=28A055709
- Numbers n such that n | sigma_10(n).at n=33A055714