1185
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1920
- Proper Divisor Sum (Aliquot Sum)
- 735
- 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
- 624
- Möbius Function
- -1
- Radical
- 1185
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 150
- 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
- Number of partitions into non-integral powers.at n=7A000333
- Expansion of (sin x + cos x)/cos 4x.at n=4A000813
- Expansion of cos x / cos 4x.at n=2A001728
- Numbers that are the sum of 7 positive 5th powers.at n=35A003352
- Rook polynomials.at n=4A005778
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=13A005919
- Coordination sequence T2 for Zeolite Code AEI.at n=26A008002
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=25A008093
- Coordination sequence T4 for Zeolite Code iRON.at n=25A009884
- Number of rooted multi-edge stars with n edges.at n=8A010359
- cosh(arctanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+33/4!*x^4+180/5!*x^5...at n=6A012718
- Apply partial sum operator thrice to partition numbers.at n=10A014160
- Numbers k such that phi(k + 5) | sigma(k).at n=50A015821
- Numbers k such that the continued fraction for sqrt(k) has period 18.at n=30A020357
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 6.at n=12A022320
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=17A024862
- Coordination sequence T4 for Zeolite Code MWW.at n=23A024989
- Index of 10^n within the sequence of the numbers of the form 4^i*10^j.at n=37A025742
- Sequence satisfies T^2(a)=a, where T is defined below.at n=39A027587
- Iterate the map in A006368 starting at 8.at n=38A028393