14973
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24576
- Proper Divisor Sum (Aliquot Sum)
- 9603
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7920
- Möbius Function
- 1
- Radical
- 14973
- 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
- 71
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(17*n - 1)/2.at n=42A022274
- Numbers whose base-5 representation contains exactly three 3's and three 4's.at n=14A045307
- a(1)=10; if n = Product p_i^e_i, n > 1, then a(n) = Product p_{i+1}^e_i * Product p_{i+3}^e_i.at n=37A045973
- a(n) = (1/24)*n*(n + 5)*(n^2 + n + 6).at n=22A051743
- Number of divisors of n equals the average of distinct prime factors of n.at n=41A067547
- a(n) = n * [1 + sum(k=1 to n) prime(k)].at n=21A083725
- Number of n X 3 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order.at n=8A166842
- Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4.at n=6A196333
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4.at n=3A196336
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4.at n=48A196337
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,0,3,1,2 for x=0,1,2,3,4.at n=51A196337
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=17A208182
- Products p*q*r*s of distinct primes for which (p*q*r*s + 1)/2 is prime.at n=30A234501
- Dimension of space of invariant tensors in 2n-th tensor power of the third fundamental representation of Sp(6).at n=5A251591
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood.at n=6A271278
- a(n) = n * Sum_{d|n} binomial(d+3,4)/d.at n=22A343545
- Numbers which are the product of two S-primes (A057948) in exactly three ways.at n=9A343828