13694
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 7474
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6640
- Möbius Function
- -1
- Radical
- 13694
- 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
- 63
- 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
- a(n) = 2*n*(4*n + 3).at n=41A033587
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=34A063048
- Convolution of natural numbers >= 2 and the partition numbers (A000041).at n=20A082775
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=35A088753
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=34A089493
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=40A131367
- a(n) = floor(n^(3/2))*floor(3+n^(3/2))/2.at n=29A185593
- Number of nondecreasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero.at n=6A188329
- T(n,k)=Number of nondecreasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero.at n=61A188333
- Number of nondecreasing arrangements of 7 nonzero numbers in -(n+5)..(n+5) with sum zero.at n=4A188337
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| + |y-w| < w+x+y.at n=26A213488
- Sum of smallest parts of all partitions of n into an odd number of parts.at n=37A222044
- Numbers k such that Bernoulli number B_{k} has denominator 498.at n=21A282773
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=33A306232
- Even composites m such that A003499(m)==6 (mod m).at n=12A338311
- Where ones occur in A349085. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/v + 1/w + 1/x + 1/y + 1/z, 0 < v < w < x < y < z.at n=37A349098