10865
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
- 8
- Divisor Sum
- 13608
- Proper Divisor Sum (Aliquot Sum)
- 2743
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8320
- Möbius Function
- -1
- Radical
- 10865
- 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
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=28A013643
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=38A063356
- a(n) = 4*a(n-1) - a(n-2) - 2, with a(0)=1, a(1)=2.at n=8A072110
- Numbers 41*k such that 41*k+2 and 41*k-6 are both prime.at n=3A153822
- Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs").at n=38A159781
- a(n) = a(n-1)+ [least square > a(n-1)].at n=11A166068
- Triangle read by rows: T(n,k) is the number of 2-compositions of n having k even entries in the top row. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n.at n=48A181336
- a(n) = n*(13*n-3)/2.at n=41A186030
- Numbers n not divisible by 2 or 3 such that k^k == k+1 (mod n) has no nonzero solutions.at n=46A191834
- Hypotenuses of primitive Pythagorean triples in A195544 and A195545.at n=4A195546
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|=max{w,x,y,z}-min{w,x,y,z}.at n=14A212755
- T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nondecreasing -k..k vector equals n.at n=59A226410
- Number of nondecreasing -n..n vectors of length 5 whose dot product with some nondecreasing -n..n vector equals 5.at n=6A226413
- a(n) is the minimal odd odious k>1, such that k^i, i=2,...,n, all are evil, and a(n)=0, if there is no such k.at n=10A230498
- a(n) is the minimal odd odious k>1, such that k^i, i=2,...,n, all are evil, and a(n)=0, if there is no such k.at n=11A230498
- Numbers n that are the product of three distinct odd primes and x^2 + y^2 = n has integer solutions.at n=36A264498
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 422", based on the 5-celled von Neumann neighborhood.at n=38A272087
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 590", based on the 5-celled von Neumann neighborhood.at n=32A273117
- Number of Dyck paths of semilength n such that every peak at level y > 1 is preceded by (at least) one peak at level y-1.at n=12A287709
- Numbers k such that (23*10^k - 83)/3 is prime.at n=17A293027