4876
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 4196
- 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
- 2288
- Möbius Function
- 0
- Radical
- 2438
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=22A020403
- Number of compositions of n into positive triangular numbers.at n=21A023361
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = (primes).at n=17A024597
- a(n) = Sum_{k=1..n} floor((n/k) * floor((n/k) * floor(n/k))).at n=15A024922
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = (primes).at n=16A025111
- Numbers having period-6 5-digitized sequences.at n=37A031190
- Numbers whose set of base-8 digits is {1,4}.at n=35A032820
- Number of self-avoiding walks of length n from origin in strip Z X {0,1}.at n=15A038577
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=12A045083
- a(n) = n*(2*n+5)*(n-1)/6.at n=24A051925
- Numbers k that divide the sum of the first k composite numbers.at n=12A053781
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=32A063365
- Centered 15-gonal numbers: a(n) = (15*n^2 - 15*n + 2)/2.at n=25A069128
- Least linear combinations of phi(n) and sigma(n) are multiple.at n=43A094702
- Number of different cuboids with volume p^6 * q^n, where p,q are distinct prime numbers.at n=44A101426
- Location of the restriction sites for the enzyme BsuRI in PhiX174 DNA.at n=9A108785
- a(n) = if n mod 2 = 0 then 8*F(n)-n otherwise 8*F(n)-4, where F() = Fibonacci numbers A000045.at n=15A110935
- n+sigma(n)+sigma(sigma(n)) is a triangular number.at n=27A116015
- Numbers of isomers of unbranched a-4-catapolypentagons - see Brunvoll reference for precise definition.at n=7A121136
- Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has an integer solution, n is a term in the sequence.at n=37A125754