4170
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 5910
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1104
- Möbius Function
- 1
- Radical
- 4170
- 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
- 126
- 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
- Absolute value of Glaisher's alpha(n).at n=20A002290
- a(n) = round(1000*log_2(n)).at n=17A004266
- a(n) = ceiling(1000*log_2(n)).at n=17A004267
- McKay-Thompson series of class 5a for Monster.at n=18A007253
- Coordination sequence T8 for Zeolite Code MFI.at n=41A008171
- Number of solutions of +- 1 +- 2 +- ... +- (n-1) +- n = 0 in which the partial sums +- 1 +- ... +- k (1<=k<=n) are all distinct.at n=27A015818
- Numbers k such that sigma(k) = sigma(k+10).at n=13A015880
- Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n.at n=18A016728
- Numbers n such that n is a substring of its square in base 3 (written in base 10).at n=21A018827
- Numbers n such that n is a substring of its square in base 9 (written in base 10).at n=9A018833
- Positive numbers having the same set of digits in base 3 and base 8.at n=34A037420
- Positive numbers having the same set of digits in base 4 and base 8.at n=45A037426
- Coordination sequence T8 for Zeolite Code SFF.at n=43A038435
- Numbers having three 1's in base 8.at n=31A043427
- Fifth column (m=4) of triangle A060098.at n=9A060100
- Bisection of triangle A060098: odd-indexed members of column sequences of A060098 (not counting leading zeros).at n=40A060556
- Fifth column (m=4) of triangle A060556.at n=4A060558
- Integer part of log(n^n)^log(1 + log(n)).at n=48A062433
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=46A066286
- Coefficient of q^1 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,2).at n=11A074352