10043
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11172
- Proper Divisor Sum (Aliquot Sum)
- 1129
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9020
- Möbius Function
- 0
- Radical
- 913
- 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
- no
- Odd
- yes
Appears in sequences
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=36A023080
- Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1.at n=49A035940
- a(n) = A083964(n)/(2n-1).at n=39A083965
- Number of compositions (ordered partitions) of n whereby at most 1 increase is allowed and this increase must be by 1.at n=22A090752
- Numbers k that divide the square of the sum of the first k primes.at n=6A111452
- G.f. satisfies: A(x) = A(y^2)/(1-y) where y = x*A(x).at n=8A145090
- a(n) = 324n - 1.at n=30A158306
- Floor(1/{(7+n^4)^(1/4)}), where {}=fractional part.at n=25A184631
- G.f. satisfies: A(x) = exp( Sum_{n>=1} x^n/n * Product_{k>=1} (1 + x^(n*k)*A(x^n)^k) ).at n=10A219232
- Number of partitions of n that sorted in increasing order do not contain a part k in position k.at n=53A238394
- Number of 3-element subsets of {1,...,n} whose sum has more than 3 divisors.at n=43A241564
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.at n=24A271456
- Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted.at n=54A319718
- a(n) = (n^3+5*n+3)/3 + 2*floor(n/2) + a(n-2), with a(0)=1 and a(1)=3.at n=21A336529
- Number of ordered pairs (x, y) with gcd(x, y) = 1 and 1 <= {x, y} <= 2^n.at n=7A342632
- Numbers of the form p^2 * q where p and q are primes with p < q < p^2.at n=53A355446