13674
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28512
- Proper Divisor Sum (Aliquot Sum)
- 14838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4368
- Möbius Function
- 1
- Radical
- 13674
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Fibonacci sequence beginning 3, 12.at n=16A022380
- One third of the sum of the first n primes, when an integer.at n=40A112270
- Numbers k such that the absolute value of 11^k - k^11 is prime.at n=6A128451
- Row sums of triangle A143102.at n=33A143103
- Rows sums of triangle A152072.at n=20A152074
- 3 times heptagonal numbers: a(n) = 3*n*(5*n-3)/2.at n=43A152773
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210865; see the Formula section.at n=51A210864
- Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX3 array.at n=4A219101
- Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX5 array.at n=2A219103
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array.at n=23A219106
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array.at n=25A219106
- Row "sums" of triangle A245618, using the operation <+> defined in A245618.at n=19A249768
- G.f.: Sum_{k>=0} x^(2^k) / Product_{j=1..2^k} (1 - x^j).at n=46A339447
- a(n) = [x^n] 2/(3*x + sqrt((1 - 3*x)*(x + 1)) + 1).at n=14A344507
- Products k of 4 distinct primes (or tetraprimes) such that k has no squarefree neighbors.at n=11A364141
- Products k of 4 distinct primes (or tetraprimes) such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=5A364766