4112
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 7998
- Proper Divisor Sum (Aliquot Sum)
- 3886
- 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
- 2048
- Möbius Function
- 0
- Radical
- 514
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 126
- 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
- Number of necklaces with n beads of 2 colors, allowing turning over (these are also called bracelets).at n=17A000029
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=42A001276
- Numbers that are the sum of 2 positive 4th powers.at n=28A003336
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=37A004831
- Representation degeneracies for boson strings.at n=26A005293
- Coordination sequence T2 for Zeolite Code ATT.at n=46A008042
- Coordination sequence T1 for Zeolite Code BIK.at n=39A008047
- Coordination sequence T3 for Zeolite Code MEP.at n=38A008159
- a(n) = n OR n^3 (applied to binary expansions).at n=15A008468
- Numbers that are the sum of 3 positive cubes in more than one way.at n=30A008917
- Number of Barlow packings with group P3m1 that repeat after n layers.at n=11A011953
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=31A024312
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=30A024875
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=30A025396
- Least term in period of continued fraction for sqrt(n) is 8.at n=16A031432
- a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1.at n=10A033052
- a(n) = n^3 + n.at n=16A034262
- Positive numbers for which the sum of digits equals the product of digits.at n=25A034710
- Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=29A035977
- Positive numbers having the same set of digits in base 3 and base 8.at n=30A037420