10735
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
- 8
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 2945
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- -1
- Radical
- 10735
- 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
- 86
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T4 atom.at n=12A019250
- Number of partitions of n that do not contain 10 as a part.at n=34A027344
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=12A031785
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=15A063048
- Expansion of (1-x)/(1+x+2*x^2+x^3).at n=32A078051
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=16A088753
- a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n).at n=11A089494
- 30*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 17.at n=9A090891
- Sequence of which A078783 is the Recamán transform.at n=38A117073
- a(n) = 5^n-4^n-3^n-2^n-1.at n=6A147976
- 5 times pentagonal numbers: 5*n*(3*n-1)/2.at n=38A152734
- Numbers n such that 2^x + 3^y is never prime when max(x,y) = n.at n=17A159625
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 3 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=37A166053
- a(0)=0, a(1)=1, a(2)=2 and a(n) = a(n-1) - 2a(n-2) + a(n-3).at n=33A166117
- Numbers n such that 41#*2^n-1 is prime, where # denotes the primorial, A002110.at n=69A176061
- Numbers k such that 3*6^k - 1 is prime.at n=29A186106
- Expansion of 1/((1-x)^2*(1-x^2)^3*(1-x^3)^2*(1-x^4)).at n=20A210068
- G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E_7.at n=38A210633
- Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i*j*k| <= n.at n=27A226359
- Number of arrays of median of three adjacent elements of some length n+2 0..4 array, with no adjacent equal elements in the latter.at n=6A229008