3045
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
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2715
- 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
- 1344
- Möbius Function
- 1
- Radical
- 3045
- 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
- 35
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f. exp(-x^2/2) / (1-x).at n=7A000266
- Number of partitions of n, with three kinds of 1 and 2 and two kinds of 3,4,5,....at n=11A000714
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=31A002621
- Numbers that are the sum of 7 positive 6th powers.at n=28A003363
- a(n) = 1000*log(n) rounded to the nearest integer.at n=20A004241
- a(n) = ceiling(1000*log(n)).at n=20A004242
- a(n) = n*(5*n - 1)/2.at n=35A005476
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=13A005718
- Number of balanced ordered trees with n nodes.at n=16A007059
- Coordination sequence T2 for Zeolite Code THO.at n=39A008239
- Orders of non-cyclic simple groups (divided by 4).at n=16A008976
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=30A011890
- a(n) = floor(n*(n-1)*(n-2)/21).at n=41A011903
- Odd numbers k such that phi(k) | sigma_3(k).at n=44A015809
- Pseudoprimes to base 41.at n=30A020169
- a(n) = n*(27*n + 1)/2.at n=15A022285
- a(n) = n*(31*n + 1)/2.at n=14A022289
- 7 times triangular numbers: 7*n*(n+1)/2.at n=29A024966
- Stirling transform of A032031.at n=4A032033
- "BFK" (reversible, size, unlabeled) transform of 1,2,3,4...at n=13A032045