3018
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
- 8
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 3030
- 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
- 1004
- Möbius Function
- -1
- Radical
- 3018
- 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
- 66
- 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) = Sum_{k=0..n} binomial(n,k^2).at n=14A003099
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=30A005598
- Oscillates under partition transform.at n=39A007210
- Coordination sequence T2 for Zeolite Code APC.at n=38A008033
- Molien series for Weyl group E_8.at n=58A008582
- Coordination sequence T4 for Zeolite Code RTH.at n=38A009896
- Expansion of 1/(1-x^4-x^5-x^6).at n=43A017828
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=33A023166
- Convolution of Lucas numbers and A014306.at n=15A023624
- (d(n)-r(n))/5, where d = A008778 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=41A026053
- Number of partitions of n into distinct parts, the least being odd.at n=52A026832
- Number of partitions of n into parts 3k and 3k+1 with at least one part of each type.at n=39A035618
- Coordination sequence T1 for Zeolite Code AFN.at n=39A038403
- Numbers n such that string 1,8 occurs in the base 10 representation of n but not of n-1.at n=33A044350
- Numbers n such that string 1,8 occurs in the base 10 representation of n but not of n+1.at n=33A044731
- Internal digits of n^2 include digits of n.at n=44A046832
- Internal digits of n^2 include digits of n, n does not end in 0.at n=31A046833
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=18A051989
- Numbers which are the sum of their proper divisors containing the digit 0.at n=14A059461
- Array described in A062704 read by diagonals in direction of creation.at n=37A062705