14284
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 25004
- Proper Divisor Sum (Aliquot Sum)
- 10720
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7140
- Möbius Function
- 0
- Radical
- 7142
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- a(n) = floor(n*phi^17), where phi is the golden ratio, A001622.at n=4A004932
- a(n) = round(n*phi^17), where phi is the golden ratio, A001622.at n=4A004952
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=4A031862
- Lucas numbers divided by their primitive part.at n=50A126015
- 4 times the Lucas number A000032(n).at n=17A156279
- a(n) = 529*n + 1.at n=26A158368
- Number of n X 4 arrays containing 4 indistinguishable copies of 1..n with lexicographical ordering of rows strictly increasing and columns strictly decreasing.at n=3A180842
- T(n,k)=number of nXk arrays containing k indistinguishable copies of 1..n with lexicographical ordering of rows strictly increasing and columns strictly decreasing.at n=24A180843
- Number of permutations of [n] with both a fixed point and a succession.at n=8A201452
- Triangle T(n,k), read by rows, given by (2, 1/2, 1/2, 0, 0, 0, 0, 0, 0, 0, ...) DELTA (2, -1/2, -1/2, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938.at n=40A202396
- Numbers k such that 3^k + 26 is prime.at n=31A219044
- Number of length 4+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=30A248437
- Number of overpal-free binary words of length n.at n=33A277277
- G.f. satisfies: A(x - 5*A(x)^2) = x - 3*A(x)^2.at n=4A277309
- Positive numbers k such that -k, -(k + 1), and -(k + 2) are 3 consecutive negative negaFibonacci-Niven numbers (A331088).at n=35A331090
- G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x + x^2 + x^3) * A(x^4))).at n=16A367718
- a(n) is the maximal permanent of an n X n symmetric Toeplitz matrix having 1 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.at n=5A374278
- Index where prime(n) appears as a term in A379248.at n=43A379290
- Starts of runs of 3 consecutive integers that are all terms in A381581.at n=39A381583