3798
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8268
- Proper Divisor Sum (Aliquot Sum)
- 4470
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1260
- Möbius Function
- 0
- Radical
- 1266
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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 balanced symmetric graphs.at n=11A005194
- Coordination sequence T3 for Zeolite Code MEI.at n=45A008148
- Powers of fifth root of 6 rounded up.at n=23A018131
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=25A025006
- Number of T-frame polyominoes with n cells.at n=38A028247
- 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 60.at n=17A031558
- G.f.: Product_{k>=1} (1 + 2*x^k).at n=27A032302
- Multiplicity of highest weight (or singular) vectors associated with character chi_154 of Monster module.at n=38A034542
- Coordination sequence T4 for Zeolite Code STF.at n=41A038439
- Coefficients of the '6th-order' mock theta function 2 mu(q).at n=39A053273
- Number of orientable necklaces with 2n beads and two colors which when turned over produce their own color complement.at n=14A059078
- Binomial transform of A083579.at n=8A083580
- Coefficients of the solution to a functional equation.at n=8A093114
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n having exactly k down steps hitting the x-axis.at n=40A101275
- a(1) = 412; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=30A105211
- a(n) = n*(4*n^2+5*n-3)/2.at n=11A126335
- Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime.at n=11A126655
- Indices of record values in A046641.at n=36A145772
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, -1), (0, 1, -1), (0, 1, 0), (1, 0, 0)}.at n=8A149833
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, 0, 1), (1, 1, -1), (1, 1, 1)}.at n=6A150999