3000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 6360
- 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
- 800
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n+3) = a(n+2) + a(n+1) + a(n) - 4.at n=14A000803
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=20A000916
- Smallest natural number requiring n letters in English.at n=10A001166
- a(n) = n^2 * n!.at n=5A002775
- a(n) = floor(1000*log_2(n)).at n=7A004265
- a(n) = round(1000*log_2(n)).at n=7A004266
- a(n) = ceiling(1000*log_2(n)).at n=7A004267
- Rook polynomials.at n=12A004306
- Powers of 3 written in base 9.at n=7A004663
- Powers of 3 written in base 27.at n=10A004669
- Expansion of (1+x^4)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=57A008765
- Numbers k such that k^2 and k have same last 3 digits.at n=12A008853
- Coordination sequence T2 for Zeolite Code -ROG.at n=41A009860
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/31).at n=19A011941
- Aliquot sequence starting at 1074.at n=4A014364
- a(2n-1) = n+2, a(2n) = smallest number requiring n+2 letters in English.at n=21A014388
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=27A014605
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=26A015708
- Numbers k such that k^2 contains exactly 2 distinct digits.at n=27A016069
- Convolution of A023532 and primes.at n=43A023606