10834
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
- 16254
- Proper Divisor Sum (Aliquot Sum)
- 5420
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5416
- Möbius Function
- 1
- Radical
- 10834
- 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
- 68
- 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
- yes
- Odd
- no
Appears in sequences
- Number of rooted connected graphs where every block is a complete graph.at n=10A007563
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=18A015991
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=22A020374
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=10A031601
- Starting from generation 7 add previous and next term yielding generation 8.at n=22A048454
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=37A065094
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=17A065215
- Square array A(n,k), n>=1, k>=1, read by antidiagonals, with A(1,k)=1 and sequence a_k of column k shifts left when Euler transform applied k times.at n=64A144042
- Maximal number of partitions having the same degree in the partition graph G(n) defined at A241150.at n=38A241152
- Rounded down ratio of area of a unit circle and one of the circles inscribed between a regular n-gon and a circumscribed unit circle.at n=13A244094
- Number of length n+5 0..2 arrays with no six consecutive terms having five times any element equal to the sum of the remaining five.at n=3A249524
- T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having five times any element equal to the sum of the remaining five.at n=13A249530
- Number of length 4+5 0..n arrays with no six consecutive terms having five times any element equal to the sum of the remaining five.at n=1A249534
- Composites whose prime factorization in base 6 is an anagram of the number in base 6.at n=34A260050
- Composite numbers n such that Sum_{k = 0..n} (-1)^k * C(n,k) * C(2*n,k) == -1 (mod n^3) (see A234839).at n=23A268303
- Irregular triangle read by rows: Numbers of unbranched k-5-catafusenes.at n=44A323944
- Composite numbers k such that k-A238525(k) and k+A238525(k) are prime.at n=29A342648
- a(n) is the number of possible values of numbers of divisors of numbers k with Omega(k) = n.at n=42A355027
- Number of odd-length integer partitions of n whose parts do not have the same mean as median.at n=37A359896
- Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes).at n=30A362507