10843
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
- 4
- Divisor Sum
- 12400
- Proper Divisor Sum (Aliquot Sum)
- 1557
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9288
- Möbius Function
- 1
- Radical
- 10843
- Omega Function (Ω)
- 2
- 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
- 161
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).at n=18A003242
- Coordination sequence for alpha-Mn, Position Mn2.at n=27A009951
- Multiplicity of highest weight (or singular) vectors associated with character chi_174 of Monster module.at n=39A034562
- Numerators of continued fraction convergents to sqrt(367).at n=8A041694
- Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x.at n=5A048131
- Number of n-celled pseudo still lifes in Conway's Game of Life, up to rotation and reflection.at n=17A056613
- Numbers n such that 2^n - 21 is prime.at n=24A057202
- Convergent of rows in triangle A091499, in which A091499(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1).at n=12A091500
- Recursive sequence; one more than maximum of products of pairs of previous terms with indices summing to current index.at n=22A091980
- Numbers k such that 2^k - 21 is prime.at n=20A096820
- Numbers k such that 4*k! - 1 is prime.at n=20A099350
- Ulam's spiral (WNW spoke).at n=26A143859
- 1+5*n+7*n^2.at n=38A168235
- The "smallest countdown" numbers are the smallest positive integer that cannot be made using the numbers n through 1, in order, using the operations +, -, *, /, and parentheses.at n=9A185352
- G.f. satisfies: A(x) = A(2*x^2 + x^3)/(1-x).at n=12A251582
- Molien series for invariants of finite Coxeter group A_10.at n=51A266779
- Number of compositions (ordered partitions) of n into nonprime squarefree parts (A000469).at n=35A290137
- Number of (undirected) paths in the n-wheel graph.at n=14A291919
- Number of rooted twice-partitions of n where the composite rooted partition is constant.at n=33A301760
- Number of nXn 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=5A318085