12238
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19080
- Proper Divisor Sum (Aliquot Sum)
- 6842
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- -1
- Radical
- 12238
- 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
- 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
- Numerators of continued fraction convergents to sqrt(5).at n=7A001077
- Numerators of continued fraction convergents to sqrt(845).at n=4A042630
- a(n) = 6*2^n - 4*n - 6.at n=11A051667
- Smallest number m such that m^2+1 is divisible by A002144(n)^2 (= squares of primes congruent to 1 mod 4).at n=39A059321
- Expansion of x*(1 + x - 2*x^2) / ( 1 - 4*x^2 - x^4).at n=15A059973
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 14.at n=27A066696
- Numbers k such that 5*k^2 + 5 is a square.at n=3A075796
- Solve 2^n - 2 = 7(x^2 - x) + (y^2 - y) for (x,y) with x>0, y>0; sequence gives value of x.at n=29A076632
- Expansion of (1-x)^(-1)/(1-x+2*x^2).at n=27A077876
- Rounded base-3 logarithm of A082126(n).at n=25A082127
- Expansion of 1 + Sum_{i>=1} (x^prime(i)/Product_{j=1..i} (1-x^j)).at n=49A095700
- a(n) = round(10000*log(n/10)).at n=33A104077
- a(n) = Lucas(n) - floor(Lucas(n)/2).at n=21A173495
- a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=20A173714
- Dispersion of A047218, (numbers >1 and congruent to 0 or 3 mod 5), by antidiagonals.at n=55A191724
- [s(k)-s(j)]/6, where the pairs (k,j) are given by A205857 and A205858, and s(k) denotes the (k+1)-st Fibonacci number.at n=41A205860
- G.f. satisfies: A(x) = x^2 + A(A(x))/x.at n=9A212380
- Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|+|x-y+|y-z|=n.at n=23A212904
- a(0)=a(1)=1, a(n+2) = a(n+1) + a(n) - A128834(n).at n=21A226956
- a(n) = n*(n^2 + 3)/2.at n=29A229183