4434
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8880
- Proper Divisor Sum (Aliquot Sum)
- 4446
- 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
- 1476
- Möbius Function
- -1
- Radical
- 4434
- Omega Function (Ω)
- 3
- 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
- 77
- 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
- Numbers of Twopins positions.at n=20A005688
- Number of paraffins.at n=26A005999
- Coordination sequence T1 for Zeolite Code GOO.at n=45A008111
- Number of increasing sequences of addition chain type with maximal element n.at n=15A008928
- Coordination sequence T1 for Zeolite Code RTH.at n=46A009893
- 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 66.at n=7A031564
- Numbers with digits 3 and 4 only.at n=27A032834
- Coordination sequence T1 for Zeolite Code STT.at n=44A038428
- Numbers having three 6's in base 9.at n=6A043479
- Numbers having three 4's in base 10.at n=11A043507
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=28A045027
- Perfectly partitioned numbers: numbers k that divide the number of partitions p(k).at n=9A051177
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=40A051864
- Number of step cyclic shifted sequence structures using a maximum of two different symbols.at n=20A056429
- Numbers which are the sum of their proper divisors containing the digit 7.at n=2A059466
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=35A060744
- a(n) = a(n-1) + the number of primes <= a(n-1).at n=34A061535
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=31A063916
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=48A066286
- Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).at n=29A069746