12180
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 28140
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 6090
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- 37
- 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
- yes
- Odd
- no
Appears in sequences
- Orders of noncyclic simple groups (without repetition).at n=16A001034
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=28A001766
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=20A007586
- Number of segments (and sides) created by diagonals of an n-gon in general position.at n=18A014628
- a(n) = n*(29*n - 1)/2.at n=29A022286
- Perimeters of more than one primitive Pythagorean triangle.at n=17A024408
- a(n) = n*(n+1)*(n+2)/2.at n=28A027480
- "CIJ" (necklace, indistinct, labeled) transform of 3,3,3,3...at n=4A032183
- a(n) = lcm(n,n+1,n+2).at n=27A033931
- Number of different energy states of n positive and n negative charges on a string.at n=9A045610
- Denominator of b(n)-b(n+1), where b(n) = n/((n+1)(n+2)) = A026741/A045896.at n=26A051713
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=32A054061
- Saint-Exupéry numbers: ordered products of the three sides of Pythagorean triangles.at n=9A057096
- a(n) = lcm(3n+1, 3n+2, 3n+3).at n=9A061495
- Ordered products of the sides of primitive Pythagorean triangles.at n=4A063011
- Numbers k such that the sign of core(k)-phi(k) is not equal to 2*mu(k)^2-1, where core(k) is the squarefree part of k.at n=17A070237
- Numbers k such that sopfr(k)=tau(k).at n=25A078511
- Numbers whose number of divisors equals the sum of their separate prime-power decompositions.at n=7A087004
- Number of permutations in the symmetric group S_n that have exactly one transposition in their cycle decomposition.at n=7A088436
- Numbers n such that primitive solutions for 1/n^2 = 1/x^2 + 1/y^2 exist.at n=33A094807