10334
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15504
- Proper Divisor Sum (Aliquot Sum)
- 5170
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5166
- Möbius Function
- 1
- Radical
- 10334
- 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
- 179
- 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
- Coordination sequence for Cr3Si, Si position.at n=26A009927
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=27A031598
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=15A031826
- Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=28A038621
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=15A047826
- Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x.at n=4A048131
- Number of n-digit positive integers m for which m/(sum of digits of m) is an integer, sometimes referred to as Niven or Harshad numbers.at n=4A066008
- Expansion of exp(2*x)*cosh(x/sqrt(1 - x^2)).at n=7A081439
- Binomial transform of Cullen numbers A002064.at n=7A084859
- Number of partitions that are "2-close" to being self-conjugate.at n=46A108961
- Number of returns to the x-axis in all hill-free Dyck paths of semilength n (a Dyck path is said to be hill-free if it has no peaks at level 1).at n=9A114495
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DUDU's starting at level 1.at n=48A135333
- Expansion of g.f.: 1/((1 - x - x^2 + x^5 - x^7)*(1 - x^2 + x^5 + x^6 - x^7)).at n=21A147617
- Numbers that have 9 terms in their Zeckendorf representation.at n=25A179249
- Length of the n-th term in the modified Look and Say sequence A110393.at n=34A179999
- Triangle read by rows: Catalan triangle of the k-Fibonacci sequence.at n=53A236918
- Convolution triangle of A000958(n+1).at n=46A237596
- Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011.at n=9A260277
- Number of n X 7 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=11A280439
- Numbers n such that there are precisely 2 groups of order n and 3 of order n + 1.at n=11A296025