3410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3502
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1200
- Möbius Function
- 1
- Radical
- 3410
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 136
- 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
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=47A001157
- If F(n) is the n-th Fibonacci number, then a(2n) = (F(2n+1) + F(n+2))/2 and a(2n+1) = (F(2n+2) + F(n+1))/2.at n=18A001224
- a(n) = (9*n+1)*(9*n+8).at n=6A001534
- Number of minimal 3-covers of a labeled n-set.at n=3A003468
- Length of n-th term in Look and Say sequences A005150 and A007651.at n=28A005341
- Primitive pseudoperfect numbers.at n=49A006036
- Primitive nondeficient numbers.at n=38A006039
- Co-growth function of a certain group.at n=8A007985
- Coordination sequence T2 for Zeolite Code EMT.at n=48A008087
- Coordination sequence T4 for Zeolite Code EMT.at n=48A008089
- Coordination sequence T5 for Zeolite Code GOO.at n=40A008115
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=38A011257
- a(n) = n*(17*n + 1)/2.at n=20A022275
- a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}.at n=10A024202
- Coordination sequence T2 for Zeolite Code SAT.at n=42A027374
- a(n) = n*(n + 1)*(3*n + 1).at n=10A027903
- Duplicate of A003468.at n=3A028109
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=28A034592
- Sum of n-th powers of divisors of 48.at n=2A034668
- Triangle of a(n,k) = number of k-member minimal covers of an n-set (n >= k >= 1).at n=17A035348