12190
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23328
- Proper Divisor Sum (Aliquot Sum)
- 11138
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4576
- Möbius Function
- 1
- Radical
- 12190
- 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
- 63
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=42A005186
- Number of bracelets (turn over necklaces) with n red, 1 pink and n-1 blue beads; also reversible strings with n red and n-1 blue beads; also next-to-central column in Losanitsch's triangle A034851.at n=8A005654
- Alkane (or paraffin) numbers l(11,n).at n=9A018212
- Alkane (or paraffin) numbers l(12,n).at n=8A018213
- Incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).at n=12A033091
- a(n) = n^3 + n.at n=23A034262
- Central column of Losanitsch's triangle A034851.at n=17A034872
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5).at n=34A039900
- Expansion of (1-x)/(1 - 3*x - 2*x^2 + 2*x^3).at n=8A052543
- Sum of two powers of 23.at n=7A073215
- a(n) = n^3+n for odd n, (n^3+n)*3/2 for even n: Row sums of A093915.at n=22A093917
- Numbers n such that 7*10^n-3 is prime.at n=20A103049
- Difference between the product of two consecutive primes and the next prime.at n=28A111071
- Bond percolation series for Kagome lattice.at n=17A120545
- a(n) = (n-1)*(n+2)*(2*n+11)/2.at n=20A130862
- Least positive number missing from row n of Stern's diatomic array (see A049456 or A002487).at n=21A135510
- Number of 6-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=10A187380
- The number of multinomial coefficients, based on a set of partitions of n into m positions, divisible by m entirely.at n=33A200144
- Number of ways to tile an 8 X n rectangle with 1 X 1, 1 X 2 and 2 X 2 tiles (i.e., monomers, dominoes and squares).at n=2A220870
- Expansion of (1-x)*(1-3*x)*(1-3*x+x^2)/(1-9*x+28*x^2-35*x^3+15*x^4-x^5).at n=8A224514