10034
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
- 8
- Divisor Sum
- 15660
- Proper Divisor Sum (Aliquot Sum)
- 5626
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4816
- Möbius Function
- -1
- Radical
- 10034
- Omega Function (Ω)
- 3
- 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
- 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
- Positive numbers k such that k and 4*k are anagrams in base 5 (written in base 5).at n=1A023063
- Convolution of (F(2), F(3), F(4), ...) and A001950.at n=13A023654
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=29A031420
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=35A058272
- a(n) = A053061(n)/n.at n=33A061082
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=37A091854
- Numerator of Sum_{k=0..n} 1/C(3*n, 3*k).at n=5A100514
- 3-Smith numbers.at n=26A104391
- Sum of n-th prime squared and n-th perfect square.at n=24A106587
- a(n) = 2*n*(6*n-1).at n=29A126964
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 0, 1), (0, 1, 0), (1, 1, 0)}.at n=7A151052
- G.f. A(x) satisfies: A(A(x)) = (1+x-x^2)*A(x).at n=7A195154
- a(n) = Sum_{i=0..n} Sum_{j=0..n} (i XOR j), where XOR is the binary logical exclusive-or operator.at n=25A224923
- Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with pi <= i.at n=37A238875
- Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-5,...,5}.at n=16A239555
- Numbers k such that anti-phi(k) = anti-phi(k+1).at n=44A241003
- Relative of Hofstadter Q-sequence.at n=38A283891
- Relative of Hofstadter Q-sequence.at n=37A283892
- Number of n X 2 0..1 arrays with every element equal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=8A300421
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=46A300427