3027
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
- 4
- Divisor Sum
- 4040
- Proper Divisor Sum (Aliquot Sum)
- 1013
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 1
- Radical
- 3027
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T4 for Zeolite Code AET.at n=38A008010
- Coordination sequence T4 for Zeolite Code BRE.at n=36A008061
- Coordination sequence T1 for Zeolite Code DOH.at n=34A008078
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=11A010015
- Coordination sequence T2 for Zeolite Code TER.at n=37A016434
- Conjectured number of irreducible multiple zeta values of depth n and weight 3n (confirmed up to n=7).at n=35A020999
- 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 55.at n=0A031553
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 55.at n=0A031733
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=4A031903
- Index of first occurrence of n as a term in A001203, the continued fraction for Pi.at n=48A032523
- Sums of 5 distinct powers of 3.at n=44A038467
- Number of partitions satisfying cn(0,5) = cn(2,5) + cn(3,5).at n=39A039859
- Numerators of continued fraction convergents to sqrt(14).at n=8A041020
- Numbers n such that string 3,3 occurs in the base 9 representation of n but not of n-1.at n=37A044281
- Numbers n such that string 2,7 occurs in the base 10 representation of n but not of n-1.at n=33A044359
- Numbers n such that string 3,3 occurs in the base 9 representation of n but not of n+1.at n=37A044662
- Numbers n such that string 2,7 occurs in the base 10 representation of n but not of n+1.at n=33A044740
- Numbers k such that the k-th partition number A000041(k) is prime.at n=48A046063
- Smallest m such that number of distinct partitions of m exceeds 10^n.at n=40A072245
- a(n) = 1^n + 5^n + 7^n.at n=4A074517