4072
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7650
- Proper Divisor Sum (Aliquot Sum)
- 3578
- 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
- 2032
- Möbius Function
- 0
- Radical
- 1018
- Omega Function (Ω)
- 4
- 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
- 51
- 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
- Second-order Eulerian numbers: a(n) = 2^n - 2*n.at n=12A005803
- Coordination sequence T2 for Zeolite Code AFO.at n=42A008016
- Coordination sequence T2 for Zeolite Code ATS.at n=46A008039
- Coordination sequence T7 for Zeolite Code CON.at n=45A009874
- [ sqrt(3/2)^n ].at n=41A014215
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=26A026064
- a(n) = 3*n^2 - 7*n + 6.at n=38A027599
- 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 31.at n=20A031529
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).at n=68A036871
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(3,5) = cn(4,5).at n=68A036873
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= 5.at n=10A037140
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=21A045228
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=28A046015
- Number of semi-meanders of order n with 2 components.at n=8A046721
- Triangle of numbers of semi-meanders of order n with k components.at n=53A046726
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 4).at n=55A046766
- Starting positions of strings of 2 5's in the decimal expansion of Pi.at n=40A050238
- Numbers k such that 285*2^k-1 is prime.at n=27A050901
- a(n) = round(e^(Pi*sqrt(n))).at n=7A056580
- Composite n such that phi(n+4) = phi(n)+4.at n=32A056773