10306
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15462
- Proper Divisor Sum (Aliquot Sum)
- 5156
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5152
- Möbius Function
- 1
- Radical
- 10306
- 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
- 148
- 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 achiral trees with n nodes.at n=19A005629
- Coordination sequence for Cr3Si, Cr position.at n=26A009928
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ (n/k)*[ n/k ] ] ].at n=18A024933
- 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=25A031598
- Octo numbers (a polygonal sequence): a(n) = 5*n^2 - 6*n + 2 = (n-1)^2 + (2*n-1)^2.at n=45A079273
- Number of partitions of n with no even parts repeated and with no 1's.at n=53A117275
- Expansion of x^9/((1-x)*(1-x^2)*(1-x^3))^2.at n=28A117485
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=43A136812
- G.f. := (1-sqrt(1-4*x+4*x^2-4*x^3))/(2(1-x+x^2)x).at n=12A152171
- Determinant of power series with alternate signs of gamma matrix with determinant 2!.at n=6A158045
- (100^n,1) Pascal triangle.at n=18A164847
- Partial sums of A106116.at n=44A173112
- Numbers n such that 8^n - 5 is prime.at n=14A217356
- Number of (n+1) X (4+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=6A250779
- Number of (7+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.at n=3A250789
- 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=19A268303
- a(n) = A010846(A002182(n)).at n=50A301892
- Number of integer partitions of n that can be partitioned into distinct pairs of distinct parts, i.e., into a set of edges.at n=42A339560
- G.f.: Sum_{k>=0} 2^k * x^(k*(k+1)) / Product_{j=1..k} (1 - x^j).at n=48A376947