2676
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6272
- Proper Divisor Sum (Aliquot Sum)
- 3596
- 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
- 888
- Möbius Function
- 0
- Radical
- 1338
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- Theta series of 27-dimensional unimodular lattice with root system A_1 with no parity vector of norm 3.at n=3A002495
- Sum of logarithmic numbers.at n=5A002750
- Coordination sequence T3 for Zeolite Code NES.at n=33A008207
- Magnetic susceptibility coefficients for square lattice spin 1 Ising model.at n=11A010115
- Expansion of 1/(1-x^2-x^3-x^4-x^5).at n=21A013982
- Conjectured dimensions of spaces of weight systems of chord diagrams.at n=15A014595
- Multiply by 1, add 1, multiply by 2, add 2, etc., start with 1.at n=12A019464
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=26A020373
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=31A023108
- Numbers k such that Hofstadter Q-sequence Q(k) (A005185) satisfies Q(k) = k/2.at n=34A027619
- 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 34.at n=22A031532
- a(n+1) = n*(a(n) + 1) for n >= 1, a(1) = 1.at n=6A033540
- Multiplicity of highest weight (or singular) vectors associated with character chi_168 of Monster module.at n=37A034556
- Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=30A035957
- Numbers n such that string 0,3 occurs in the base 9 representation of n but not of n-1.at n=35A044254
- Numbers n such that string 7,6 occurs in the base 10 representation of n but not of n-1.at n=28A044408
- Numbers n such that string 0,3 occurs in the base 9 representation of n but not of n+1.at n=35A044635
- Numbers n such that string 7,6 occurs in the base 10 representation of n but not of n+1.at n=28A044789
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 3 and 4 (mod 5).at n=60A046785
- a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.at n=13A047021