3846
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7704
- Proper Divisor Sum (Aliquot Sum)
- 3858
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1280
- Möbius Function
- -1
- Radical
- 3846
- Omega Function (Ω)
- 3
- 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
- 51
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 bipartite partitions of n white objects and 2 black ones.at n=17A000291
- Number of compositions of n into a sum of odd primes.at n=38A002124
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=31A005899
- Number of Hamiltonian cycles in P_4 X P_n.at n=10A006864
- Prefix (or Levenshtein) codes for natural numbers.at n=22A010097
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=65A017895
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=31A023177
- Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i).at n=76A026120
- a(n) is the number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n), where T is the array in A026120.at n=8A026122
- Numbers having period-2 6-digitized sequences.at n=4A031357
- 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 62.at n=0A031560
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 62.at n=1A031740
- Concatenation of n and n + 8 or {n,n+8}.at n=37A032613
- a(n) = floor(10^5/n).at n=25A033427
- Number of partitions satisfying cn(2,5) <= cn(0,5) + cn(3,5) and cn(2,5) <= cn(0,5) + cn(4,5) and cn(3,5) <= cn(0,5) + cn(1,5) and cn(3,5) <= cn(0,5) + cn(4,5).at n=33A039875
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=42A043076
- Coordination sequence T3 for Zeolite Code DON.at n=42A047955
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=27A063948
- Cube root of A061096(n).at n=23A067177
- exp(Sum_{n>0} x^n/n^2) = Sum_{n>=0} a(n)*x^n/n!^2.at n=5A074707