13994
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 20994
- Proper Divisor Sum (Aliquot Sum)
- 7000
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6996
- Möbius Function
- 1
- Radical
- 13994
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 120
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=38A020368
- Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even.at n=26A037101
- Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=14A063799
- Number of two-rowed partitions of length 5.at n=26A070558
- Expansion of x/(1 -x^2 -x^4 -x^7 -x^8 -x^9 -x^10).at n=32A143351
- Number of strictly increasing arrangements of n nonzero numbers in -(n+6)..(n+6) with sum zero.at n=6A188121
- Number of strictly increasing arrangements of 7 nonzero numbers in -(n+5)..(n+5) with sum zero.at n=7A188126
- Number of tilings of a 10 X n rectangle using integer-sided square tiles of area > 1.at n=17A226374
- a(0)=7; a(n) = 7*a(n-1) + 1 if a(n-1) is odd, a(n) = a(n-1)/2 otherwise.at n=31A271623
- Number of partitions of n such that the (sum of distinct odd parts) < n/2.at n=35A284612
- Numbers k such that (23*10^k - 83)/3 is prime.at n=18A293027
- Even bisection of A347115.at n=52A347116
- G.f. A(x) satisfies: Sum_{n>=0} x^n * A(x)^(n*(n-1)) = 1/Sum_{n>=0} (-1)^n * x^n * A(x)^(n^2).at n=6A383557