14672
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 32736
- Proper Divisor Sum (Aliquot Sum)
- 18064
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- 0
- Radical
- 1834
- Omega Function (Ω)
- 6
- 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
- 40
- Smith Number
- yes
- 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
- Expansion of e.g.f. cosh(tan(x)*sinh(x)) (only even powers).at n=4A009165
- sec(tanh(x)*tan(x)) = 1+12/4!*x^4+14672/8!*x^8+120702912/12!*x^12...at n=2A012674
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=31A031779
- Coordination sequence for lattice D*_4 (with edges defined by l_1 norm = 1).at n=14A035471
- Number of partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5).at n=35A039899
- a(n) = -a(n-1) - a(n-2) + a(n-3), a(0)=0, a(1)=0, a(2)=1.at n=36A057597
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=41A064370
- Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = 1, a(2) = 0.at n=18A081172
- n^4 + n-th prime.at n=10A089621
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 11.at n=12A090890
- Indices of primes in sequence defined by A(0) = 23, A(n) = 10*A(n-1) + 33 for n > 0.at n=20A101964
- Number of positive integers <= 10^n that are divisible by no prime exceeding 7.at n=12A106600
- Number of partitions of n having exactly 1 part that appears exactly once.at n=45A116596
- Number of reduced words of length n in the Weyl group B_16.at n=5A161876
- Number of reduced words of length n in the Weyl group D_16.at n=5A162327
- A156977/3.at n=15A164565
- Numbers that are multiples of 28 and contain both a 4 and a 7.at n=35A171077
- Central coefficients of the Riordan matrix (g(x),x*g(x)), where g(x) = (1-x-x^2-sqrt(1-2*x-5*x^2+2*x^3+x^4))/(2*x^2) (A132276).at n=6A190155
- Generating primitive Pythagorean triangles by using (n, n+1) gives perimeters for each n. This sequence lists the sum of these perimeters for each n triangles.at n=20A193068
- Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).at n=6A235274