14740
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34272
- Proper Divisor Sum (Aliquot Sum)
- 19532
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 7370
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- C(2n-1,n-1) mod n^4.at n=16A099908
- Numbers k such that 1*k + 1, 3*k + 1, 9*k + 1, 27*k + 1 are all primes.at n=18A112041
- Numbers k such that 3^k mod k = 3^k mod k^2.at n=24A125774
- Numbers k such that k^2 divides 9^k - 1.at n=36A127101
- Numbers k such that k^2 divides 3^k-1.at n=9A127103
- Numbers k such that k^3 divides 3^(k^2) - 1.at n=37A129211
- Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k DUUU's.at n=34A135308
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+191)^2 = y^2.at n=8A161486
- Numbers n with property that (n+1)*prime(n+1)-n*prime(n) is a perfect square s^2.at n=31A181283
- Binomial(2p-1,p-1) modulo p^4, with p=prime(n).at n=6A242473
- Number of compositions of n in which the minimal multiplicity of parts equals 3.at n=17A244166
- Expansion of Product_{k>=1} (1 + 4*x^k).at n=20A261568
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood.at n=28A270292
- Related to number of mesh patterns of length 2 that avoid the pattern 231 or 321. For details see the comment section.at n=10A289450
- Expansion of Product_{k>=2} (1 + x^Fibonacci(k))^Fibonacci(k).at n=31A291650
- Number of distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.at n=14A360350
- Expansion of Sum_{k>0} x^(3*k)/(1-x^k)^4.at n=44A363607
- Expansion of Sum_{k>0} x^(3*k)/(1+x^k)^4.at n=44A363617
- Number of pairs (p,q) of partitions of n such that the set of parts in q is a subset of the set of parts in p.at n=19A369704