10084
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17654
- Proper Divisor Sum (Aliquot Sum)
- 7570
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 5042
- 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
- 42
- 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) = 4*a(n-1) - a(n-2) with a(0) = 2, a(1) = 4.at n=7A003500
- Arises from generalized Lucas-Lehmer test for primality.at n=5A018844
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=13A031830
- Numbers whose base-3 representation contains no 0's and exactly one 2.at n=41A044990
- Table by antidiagonals where T(n,k) = n*T(n,k-1) - T(n,k-2) with T(n,0) = 2 and T(n,1) = n.at n=70A060964
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=28A064180
- Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.at n=48A064933
- Matrix product of unsigned Stirling1-triangle |A008275(n,k)| and unsigned Lah-triangle |A008297(n,k)|.at n=16A079640
- A number triangle associated with the Chebyshev polynomials of the first kind.at n=47A101161
- a(n) = 8*n^2 + 8*n + 4.at n=35A108099
- Triangle, diagonals generated from Lucas polynomials.at n=37A118007
- Record indices of the ratio A002375(n) / n (Goldbach conjecture related).at n=38A137820
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=41A163433
- Number of binary strings of length n with equal numbers of 00000 and 00110 substrings.at n=14A164183
- Number of binary strings of length n with no substrings equal to 0001 0101 or 1110.at n=19A164475
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210863; see the Formula section.at n=49A210862
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant > n.at n=5A211150
- Number of cyclotomic cosets of 9 mod 10^n.at n=25A220020
- Number of times the digit 9 appears in the first 10^n digits of Catalan's constant.at n=4A224818
- Array T(n,k) read by antidiagonals: T(n,k) = sum(i=0...n, (-1)^(n+i) * C(n+i,2i) * n/(2i+1) * k^(2i+1) ), n>0, k>1.at n=12A231123