1485
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1395
- 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
- 720
- Möbius Function
- 0
- Radical
- 165
- 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
- yes
- 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
- 47
- 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
- no
- Odd
- yes
Appears in sequences
- Related to Zarankiewicz's problem.at n=52A001841
- Prime numbers of measurement.at n=36A002049
- Number of diagonal dissections of a convex n-gon into n-4 regions.at n=4A002055
- 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).at n=8A002417
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=16A002624
- Degrees of irreducible representations of alternating group A_12.at n=23A003867
- Degrees of irreducible representations of symmetric group S_12.at n=38A003876
- Degrees of irreducible representations of symmetric group S_12.at n=39A003876
- Binomial coefficient C(5*n,n-9).at n=2A004351
- Number of integer partitions of n whose smallest part is equal to the number of parts.at n=63A006141
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=101A006509
- Compositions: 6th column of A048004.at n=9A006980
- Number of irreducible positions of size n in Montreal solitaire.at n=7A007046
- Coordination sequence T7 for Zeolite Code MTW.at n=25A008202
- Coordination sequence T1 for Banalsite.at n=23A008249
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=21A011257
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=27A014105
- Odd triangular numbers.at n=27A014493
- a(n) = 11*a(n-1) + 7*a(n-2).at n=4A015601
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=10A015705