4264
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 4556
- 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
- 1920
- Möbius Function
- 0
- Radical
- 1066
- Omega Function (Ω)
- 5
- 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
- 33
- 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
- Crystal ball sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)).at n=7A001360
- Coordination sequence T2 for Zeolite Code DOH.at n=40A008079
- Expansion of e.g.f.: tanh(x)/cos(log(1+x)).at n=7A009839
- Spin-spin correlation function for 4-d b.c.c. lattice.at n=2A010564
- a(n) = floor(n*(n-1)*(n-2)/15).at n=41A011897
- Expansion of exp(exp(exp(x) - 1 - x) - 1).at n=8A028248
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=16A028628
- Even numbers k such that in k^2 the parity of digits alternates.at n=41A030157
- Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=38A030181
- 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=24A031529
- Number of flat partitions of n: partitions {a_i} with each |a_i - a_{i-1}| <= 1.at n=50A034296
- Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=32A035972
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) = cn(3,5)).at n=44A036815
- Denominators of continued fraction convergents to sqrt(851).at n=7A042643
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=13A045055
- Numbers whose sum of the squares of divisors is also a square number.at n=8A046655
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047140.at n=13A047141
- 4-digit terms in the continued fraction for Pi.at n=11A048958
- McKay-Thompson series of class 7B for the Monster group.at n=38A052240
- Number of optimal binary prefix-free codes with n words all ending in 1.at n=35A055167