4078
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6120
- Proper Divisor Sum (Aliquot Sum)
- 2042
- 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
- 2038
- Möbius Function
- 1
- Radical
- 4078
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T4 for Zeolite Code AFO.at n=42A008018
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=7A020411
- Coordination sequence T1 for Zeolite Code CGS.at n=47A027365
- 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 62.at n=17A031560
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=32A031796
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=40A036805
- Denominators of continued fraction convergents to sqrt(713).at n=8A042373
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=13A045147
- Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM).at n=50A051839
- McKay-Thompson series of class 35B for Monster.at n=34A058641
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 55 ).at n=38A063328
- Generalized Catalan numbers C(9; n).at n=4A064092
- Fifth diagonal of triangle A064094.at n=9A064096
- Consecutive terms of A065966 which are also consecutive integers.at n=13A065976
- Row sums of A077070.at n=46A077071
- Numbers k such that k!!!! + 1 is prime.at n=17A085146
- Prime productive numbers m: Let the digits of m be abcd. Then the numbers bcd*a+1, cd*ab+1, d*abc+1, abcd+1 etc. are all primes. If m is a k-digit number it produces k such primes.at n=50A089395
- Number of partitions of n such that the least part occurs exactly twice.at n=37A096373
- a(n) = 97*n + 101.at n=41A100775
- Number of bridged bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=8A121330