14912
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 29718
- Proper Divisor Sum (Aliquot Sum)
- 14806
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7424
- Möbius Function
- 0
- Radical
- 466
- Omega Function (Ω)
- 7
- 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
- 89
- 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
- s(n+3)/4, where s is A024739.at n=11A024740
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=28A028589
- Number of primes < e^n.at n=12A040014
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=32A060354
- a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=3.at n=13A080878
- Trinomial transform of the Fibonacci numbers (A000045).at n=6A082761
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=15A093059
- Row sums of triangle A099602, in which row n equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907).at n=12A099603
- a(n) = pi(A037028(n)).at n=12A126137
- Ramanujan numbers (A000594) read mod 16384.at n=3A126824
- Sum of all elements of n X n X n cubic array M[i,j,k] = Fibonacci[i+j+k-2].at n=5A129762
- Euler transform of A141199.at n=9A144791
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=8A150081
- a(0)=2, a(n) = n^2+a(n-1).at n=35A153056
- Expansion of -2*x^2*(-3-2*x+x^2-x^3-2*x^4+x^5) / ( (1+x)^2*(x-1)^4 ).at n=31A178465
- a(n) = A056520(n)+1 for n>0, a(0)=1.at n=35A179904
- Number of (w,x,y) with all terms in {0,...,n} and w != min(|w-x|, |x-y|, |y-w|).at n=24A213492
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1.at n=19A222331
- Number of compositions of n minus the number of overpartitions of n.at n=15A237047
- Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations.at n=34A242101