4688
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 9114
- Proper Divisor Sum (Aliquot Sum)
- 4426
- 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
- 2336
- Möbius Function
- 0
- Radical
- 586
- Omega Function (Ω)
- 5
- 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
- 121
- 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
- Coordination sequence T2 for Zeolite Code AFO.at n=45A008016
- Coordination sequence T8 for Zeolite Code EUO.at n=42A008103
- Coordination sequence T2 for Zeolite Code VNI.at n=42A009908
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=21A024173
- Square root of A030693.at n=12A030694
- 2-automorphic numbers: final digits of 2*n^2 agree with n.at n=3A030984
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=44A036812
- Numbers having four 2's in base 5.at n=30A043360
- Numbers k such that k^512 + 1 is prime.at n=14A057465
- Number of homeomorphically irreducible multigraphs (or series-reduced multigraphs or multigraphs without nodes of degree 2) on 4 labeled nodes.at n=12A060534
- Harmonic mean of digits is 6.at n=7A062184
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=32A062725
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=31A063338
- a(1) = 6; a(n+1) = (a(n)+1)/2 if a(n) odd, or 5*a(n)/2 if a(n) even.at n=30A070870
- Numbers k such that 5*k! + 1 is prime.at n=24A076681
- Number of numbers k which give 1 after applying exactly n iterations of the 3k+1 algorithm (if a number is even, divide it by 2; if it is odd, multiply by 3 and add 1). This total includes numbers k which also give 1 for a smaller number of iterations (i.e., for this sequence we do not assume the algorithm halts when 1 is reached).at n=35A082538
- Partial sums of A087100.at n=21A087098
- Number of numbers that are ternary squarefree words of length n.at n=24A088953
- a(n) = a(n-1)^2 + a(floor(n/2))^2; a(0) = 1.at n=4A099729
- (prime(n)*(prime(n+1)-1) + (prime(n)-1)*prime(n+1)) / 2.at n=17A099909