4700
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 5716
- 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
- 1840
- Möbius Function
- 0
- Radical
- 470
- Omega Function (Ω)
- 5
- 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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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) = floor(1000*log_2(n)).at n=25A004265
- a(n) = round(1000*log_2(n)).at n=25A004266
- Coordination sequence T4 for Zeolite Code DAC.at n=43A008070
- Coordination sequence T1 for Cordierite.at n=41A008251
- a(n) = n*(15*n + 1)/2.at n=25A022273
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=21A026040
- 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 34.at n=39A031532
- Numerators of continued fraction convergents to sqrt(995).at n=5A042926
- Numbers k such that the string 0,0 occurs in the base 10 representation of k but not of k-1.at n=46A044332
- Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=4A048959
- Coefficients of replicable function number 15a.at n=38A058512
- Number of divisors of n equals the average of distinct prime factors of n.at n=22A067547
- One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).at n=25A068485
- a(n) = A051612(n)*A065387(n) = sigma(n)^2-phi(n)^2, where A051612(n) = sigma(n) - phi(n) and A065387(n) = sigma(n) + phi(n).at n=45A077101
- Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.at n=19A078184
- a(n) = round(10000*log(n/10)).at n=15A104077
- Positive integers n such that n^10 + 1 is semiprime.at n=45A105078
- Square roots of A114399.at n=47A114400
- a(n) = 2 + floor((1 + Sum_{j=1..n-1} a(j))/4).at n=35A120161
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 9.at n=17A136907