3978
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
- 24
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 5850
- 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
- 1152
- Möbius Function
- 0
- Radical
- 1326
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 25
- 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
- No-3-in-line problem: number of inequivalent ways of placing 2n points on an n X n grid so that no 3 are in a line.at n=14A000769
- Fermat coefficients.at n=5A000973
- Number of nonequivalent dissections of a polygon into n triangles by nonintersecting diagonals rooted at a cell up to rotation.at n=8A003441
- a(n) = n*(n+1)*(n+8)/6.at n=26A006503
- Coordination sequence T1 for Zeolite Code JBW.at n=42A008121
- Coordination sequence T1 for Zeolite Code TON.at n=39A008241
- a(n) = floor(binomial(n,7)/8).at n=18A011844
- a(n) is the concatenation of n and 2n.at n=38A019550
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes).at n=18A024603
- Coordination sequence T2 for Zeolite Code MWW.at n=42A024987
- Irreducible Euler sums of weight 8 and depth 10+2n.at n=10A031164
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=8A031692
- Number of aperiodic necklaces of n beads of 2 colors, 11 of them black.at n=7A032169
- Number of necklaces with 8 black beads and n-8 white beads.at n=11A032193
- Number of necklaces with 11 black beads and n-11 white beads.at n=8A032196
- Multiplicity of highest weight (or singular) vectors associated with character chi_120 of Monster module.at n=36A034508
- Schoenheim bound L_1(n,8,7).at n=10A036835
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2.at n=4A037655
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=35A038391
- Coordination sequence T8 for Zeolite Code STT.at n=42A038418