14448
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 43648
- Proper Divisor Sum (Aliquot Sum)
- 29200
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 1806
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=26A005513
- Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=27A008309
- cosh(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6...at n=8A012581
- Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer.at n=23A032795
- Numbers whose set of base-15 digits is {3,4}.at n=26A032839
- E.g.f.: (arctanh(x))^6/6! (even powers only).at n=2A049217
- Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=50A049218
- a(n) = 3!*n*S(n-1,3), where S denotes the Stirling numbers of second kind.at n=8A052761
- Number of staircase polygons of area n with one (staircase polygon) hole on square lattice (not allowing rotations).at n=8A057414
- McKay-Thompson series of class 8b for Monster.at n=15A058088
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=37A060664
- a(n)=phi(n^2+1)/n if (n^2+1) is composite and phi(n^2+1)==0 (mod n).at n=28A067926
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=45A089187
- Numbers whose set of base 7 digits is {0,6}.at n=18A097253
- Number of primitive roots modulo prime(n)^2, where prime(n) is n-th prime.at n=39A104039
- Triangle of arctanh numbers.at n=61A111594
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=28A117313
- Expansion of (chi(q)^5 * chi(-q))^2 in powers of q where chi() is a Ramanujan theta function.at n=15A143894
- a(n) = 25*n^2 + 2*n.at n=23A154377
- A triangle related to the GF(z) formulas of the rows of the ED2 array A167560.at n=25A167568