10208
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22680
- Proper Divisor Sum (Aliquot Sum)
- 12472
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 638
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=27A005905
- Number of lines through exactly 4 points of an n X n grid of points.at n=34A018811
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=37A031547
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=11A045247
- a(n) = floor(exp(n/Pi)).at n=28A062121
- Lexicographically earliest increasing sequence of relatively prime numbers with nondecreasing number of divisors. a(0) = 1, tau(a(n+1)) >= tau(a(n)) and GCD(a(n),a(n+1)) = 1.at n=45A076963
- Multiples of 11 with digit sum 11, with no zero digits in odd places.at n=9A083512
- a(n) = n*2^n - 2^(n/2)*sin(Pi*n/4).at n=10A099855
- a(n) = (1/2)*(F(n+2)-1)*(F(n+2)-2) + F(n), where F() are the Fibonacci numbers.at n=9A131569
- a(n) = (4/3)*u*(u^3+6*u^2+8*u-3) where u=floor((3*n+5)/2).at n=3A160451
- Let A087788(n) = p*q*r, where p<q<r, be the n-th 3-Carmichael number. Then a(n) = (p-1)*(p*q*r-1)/((q-1)*(r-1)).at n=33A162290
- Numerator of A166100(A166101(n))/A166102(n).at n=23A166272
- Fibonacci-Chebyshev sequence depending on rabbit sequence A005614.at n=42A176741
- The largest integer that cannot be written as the sum of squares of integers larger than n.at n=39A193018
- a(n) = n! * Sum_{k=1..n-1} H(k)*H(n-k) for n>=2, where H(n) is the n-th harmonic number.at n=4A193446
- Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, three or four distinct values for every i,j,k<=n.at n=9A211722
- Number of (w,x,y) with all terms in {0,...,n} and w>floor((x+y)/3).at n=24A212974
- G.f. satisfies A(x) = 1 + x*(A(x)^2 + A(x)^4).at n=5A219534
- Harmonic-geometric numbers.at n=6A222058
- Numbers with digit sum 11 that are multiples of 11.at n=17A283742