4079
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4080
- 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
- 4078
- Möbius Function
- -1
- Radical
- 4079
- 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
- 64
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 562
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets.at n=22A002848
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n}, each satisfying X + Y = Z.at n=21A002849
- Primes of the form 2*k^2 + 29.at n=39A007641
- Coordination sequence T2 for Zeolite Code MEL.at n=41A008151
- Imaginary Rabbits: imaginary part of a(0)=i; a(1)=-i; a(n) = a(n-1) + i*a(n-2), with i = sqrt(-1).at n=25A014291
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=12A020395
- Conjectured number of irreducible multiple zeta values of depth n and weight 3n (confirmed up to n=7).at n=36A020999
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=28A023253
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ (n/k)*[ n/k ] ] ].at n=13A024933
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=23A025024
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=42A029732
- 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=8A031561
- Sums of 11 distinct powers of 2.at n=7A038462
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=34A038543
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5).at n=30A039879
- Numbers having three 7's in base 8.at n=19A043451
- Primes with first digit 4.at n=31A045710
- Home primes in base 2: primes reached when you start with n and (working in base 2) concatenate its prime factors (A048985); repeat until a prime is reached (or -1 if no prime is ever reached). Answer is written in base 10.at n=33A048986
- Moebius transform of A001037 (starting at term 0).at n=16A054154
- Safe primes (A005385) that are not Sophie Germain primes.at n=41A059452