10829
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 3535
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 1547
- 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
- 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
- a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5.at n=40A005708
- Expansion of 1/(1 - x^6 - x^7 - x^8 - ...).at n=46A017900
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=27A026049
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16.at n=12A031694
- Zero, together with positive numbers k such that prime(k) + k is a square.at n=38A064371
- a(n) = T(n)^2 - n^2, where T(n) is a triangular number.at n=14A085740
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=46A093832
- If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)).at n=17A095963
- Numbers n such that prime(n) + n is a perfect power.at n=43A107605
- Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order.at n=10A121738
- "Trim" numbers that are not prime; see reference for definition.at n=31A145555
- a(n) = 361*n - 1.at n=29A158308
- a(n) = 169*n^2 + 13.at n=8A158548
- a(n) = 30*n^2 - 1.at n=18A158560
- Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1.at n=58A163940
- Fourth left hand column of triangle A163940.at n=7A163944
- For any number n take the polynomial formed by the product of the terms (x-pi), where pi's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero.at n=29A203614
- Number of partitions of 2n into exactly 6 parts.at n=29A256310
- Number of partitions of 4n into at most 6 parts.at n=13A256540
- Add and multiply: distinct numbers (a+b) * (c+d) * (e+f) * (g+h) * (i+j) where a..j are permutations of 0..9.at n=13A266917