4244
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7434
- Proper Divisor Sum (Aliquot Sum)
- 3190
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2120
- Möbius Function
- 0
- Radical
- 2122
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 126
- 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
- Representation degeneracies for boson strings.at n=25A005294
- Coordination sequence T3 for Zeolite Code AET.at n=45A008009
- Coordination sequence T1 for Zeolite Code EPI.at n=41A008090
- Coordination sequence T3 for Zeolite Code -WEN.at n=47A009864
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=10A020401
- n written in fractional base 6/4.at n=28A024637
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 32.at n=37A031530
- Concatenation of n and n + 2 or {n,n+2}.at n=41A032607
- Coordination sequence T3 for Zeolite Code CFI.at n=43A033601
- Numbers having three 4's in base 10.at n=6A043507
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=30A045031
- Total number of digits in all primes with n digits.at n=3A046719
- n*M127 - 1 is prime, where M127 = 2^127 - 1.at n=39A057441
- Expansion of Product_{i in A069909} 1/(1 - x^i).at n=54A069911
- Rounded total surface area of a regular octahedron with edge length n.at n=35A071396
- Number of ways to lace a shoe that has n pairs of eyelets, assuming the lacing satisfies certain conditions.at n=3A078629
- a(n) = prime(4n-3) + prime(4n-2) + prime(4n-1) + prime(4n).at n=44A094207
- Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2).at n=9A099757
- a(n) = 100*n + 44.at n=42A102438
- Where records appear in A109890.at n=50A111243