4044
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9464
- Proper Divisor Sum (Aliquot Sum)
- 5420
- 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
- 1344
- Möbius Function
- 0
- Radical
- 2022
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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
- Least positive unitary linear combination of distinct numbers in row n of Pascal's triangle; i.e., least positive sum of form d(0)C(n-1,0) + d(1)C(n-1,1) + ...+ d(m)C(n-1,m), d(i)=+-1, m = floor((n+1)/2).at n=25A004795
- 'Eban' numbers (the letter 'e' is banned!).at n=49A006933
- Coordination sequence T3 for Zeolite Code MTN.at n=38A008188
- Coordination sequence T1 for Zeolite Code MTW.at n=42A008196
- Molien series for A_5.at n=46A008628
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=19A011933
- Coordination sequence T4 for Zeolite Code CGF.at n=44A019454
- n written in fractional base 8/4.at n=44A024646
- Concatenation of n and n + 4 or {n,n+4}.at n=39A032609
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=38A039854
- Numbers having three 4's in base 10.at n=4A043507
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=8A045075
- Coordination sequence T5 for Zeolite Code ISV.at n=44A047962
- Numbers k such that k and k+1 are modest (cf. A054986).at n=8A055018
- Coordination sequence T6 for Zeolite Code SFE.at n=42A057322
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=17A063366
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=30A073713
- Number of primes between prime(n) and prime(n)^2.at n=44A079047
- a(n) = sigma[k](n) - phi(n)^k - d(n)^k for k=3.at n=15A079539
- a(n) = n + floor(Sum_{k<n} a(k)/2) with a(0)=0.at n=19A079719