8204
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 8260
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3504
- Möbius Function
- 0
- Radical
- 4102
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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 minimal plane trees with n terminal nodes.at n=51A006241
- a(n+3) = 5*a(n+2)-4*a(n+1)+a(n).at n=8A012886
- Denominators of continued fraction convergents to sqrt(438).at n=7A041835
- a(n) = 2^n + n - 1.at n=13A052944
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=25A063362
- Smallest multiple of n with initial digits that of the reversal of n, deleting the leading zeros wherever required.at n=27A074156
- "Orders" where balanced prime number records (A082080) occur.at n=48A096692
- Structured octagonal anti-prism numbers.at n=13A100184
- a(n) = (1/n)*Sum_{k=1..n} k*2^gcd(n,k).at n=12A102688
- Admirable Harshad numbers.at n=36A111947
- A106486-encodings for the minimal representatives of each equivalence class of the finite combinatorial games.at n=40A126011
- Row sums of triangle A132735.at n=13A132736
- Triangle T(n, k) = f(n, k) + f(n, n-k), where f(n, k) = A008292(n*k + 1, n-k) if k <= n otherwise A008292(n*(n-k), k), read by rows.at n=11A157117
- Triangle T(n, k) = f(n, k) + f(n, n-k), where f(n, k) = A008292(n*k + 1, n-k) if k <= n otherwise A008292(n*(n-k), k), read by rows.at n=13A157117
- a(n) = the smallest positive multiple of n with exactly n digits when written in binary.at n=13A162213
- Triangle read by rows: expansion of Sum_{k=0..n} binomial(n, k)*(Product_{j=0..n-k+1} (x + i)) * (-1)^k * x^(k-1).at n=25A174789
- The number of odd numbers that require n Collatz (3x+1) iterations to reach 1.at n=47A176866
- Binomial transform of A113127; (1, 1, 3, 7, 15, 31, ...) convolved with (1, 3, 7, 15, 31, 63, ...).at n=9A181527
- Numbers 1 through 10000 sorted lexicographically in binary representation.at n=35A190126
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209417; see the Formula section.at n=64A209418