11352
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
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 31680
- Proper Divisor Sum (Aliquot Sum)
- 20328
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 2838
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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
- a(n) = floor(n*(n-1)*(n-2)/7).at n=44A011889
- a(1) = 1, a(n) = Sum_{k=1..n-1} ((4^k - 1)/3)*a(k).at n=4A015503
- 12 times triangular numbers.at n=43A049598
- When expressed in base 3 and then interpreted in base 8, is a multiple of the original number.at n=41A062889
- Number of nonempty subsets S of {1,2,3,...,n} that have the property that no element x of S is a nonnegative integer linear combination of elements of S-{x}.at n=22A103580
- a(n) = n*(n+7)*(n+8)/6.at n=36A111396
- Column 1 of triangle A112682; also equals row sums of A112682 (with offset).at n=13A117160
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=23A117313
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5))^2.at n=20A117487
- Numbers k such that k and k^2 together contain all ten digits.at n=39A122477
- Triangle T(n,k), 0 <= k <= n, defined by : T(n,k) = 0 if k < 0, T(0,k) = 0^k, (n+2)*(2*n-2*k+1)*T(n,k) = (2*n+1)*( 4*(2*n-2*k+1)*T(n-1,k-1) + (n+2*k+2)*T(n-1,k) ).at n=18A123382
- Triangle of Gely numbers, read by rows.at n=52A132795
- Numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th prime as a substring of n. Also n may not contain any zero digits.at n=3A135015
- Number of circular permutations of the multiset {1,1,2,2,...,n,n} (up to rotations).at n=5A137729
- a(n) = n*A002088(n).at n=32A143270
- 12 times hexagonal numbers: 12*n*(2*n-1).at n=22A143698
- b(n)*b(n+1), where b() = A000930().at n=13A170935
- Number of distinct k-colored necklaces with n beads per color; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=30A208183
- Number of distinct 5-colored necklaces with n beads per color.at n=2A208190
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -2<=w+x+y<=2.at n=28A211616