4159
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4160
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4158
- Möbius Function
- -1
- Radical
- 4159
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 573
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.at n=18A000621
- Primes of the form k^2 - k - 1.at n=35A002327
- Primes of form 2n^2 - 2n + 19.at n=35A007639
- Coordination sequence T3 for Zeolite Code RTE.at n=44A009892
- Coordination sequence T1 for Zeolite Code WEI.at n=46A009917
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T2 atom.at n=11A019106
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=33A020379
- Pisot sequence T(6,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=15A020741
- Greatest prime divisor of prime(n)*prime(n-1) - 1.at n=30A023517
- Least odd prime divisor of prime(n)*prime(n-1) - 1, or 1 if prime(n)*prime(n-1) - 1 is a power of 2.at n=31A023519
- 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 63.at n=17A031561
- Lower prime of a difference of 18 between consecutive primes.at n=11A031936
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=11A033167
- Compare partial sums of A033881 and A033884; this is the sequence of common terms.at n=6A033944
- Primes p such that both p-2 and 2p-1 are prime.at n=27A038869
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=34A039880
- Denominators of continued fraction convergents to sqrt(469).at n=8A041895
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=10A045079
- Number of conjugacy classes of elements of order n in 2.E_7(C).at n=19A045515
- Primes with first digit 4.at n=42A045710