11130
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 31104
- Proper Divisor Sum (Aliquot Sum)
- 19974
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- -1
- Radical
- 11130
- Omega Function (Ω)
- 5
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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) = n*(n + 1)*(n^2 + n + 2)/4.at n=14A001621
- a(n) = (-1 + prime(n+1)^2)/4.at n=45A024701
- Wiener number of n-hexagonal triangle.at n=6A033544
- Coordination sequence for A_14 lattice.at n=2A035840
- a(n) = A000166(n-1)*n*(n-1).at n=4A038033
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=35A045945
- Products of exactly 5 distinct primes.at n=28A046387
- Triangle inverse to that in A046899.at n=39A046900
- Smallest oblong (promic) number containing exactly n 1's.at n=2A048532
- Triangle read by rows, the Bell transform of n!*binomial(5,n) (without column 0).at n=42A049411
- Numbers that are divisible by exactly 5 different primes.at n=39A051270
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=33A057123
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=37A059306
- Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I/log(3).at n=7A084818
- Smallest nontrivial multiple of n whose nonzero digit product is the same as that of the nonzero digit product of n. By nontrivial one means a(n) is not equal to n or (10^k)*n. 0 if no such number exists.at n=29A087304
- Squarefree oblong (pronic) numbers having an odd number of prime factors.at n=15A098827
- Number of permutations of n elements admitting a fourth root.at n=8A103620
- Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005.at n=13A125016
- Triangle read by rows: matrix product of the Stirling numbers of the second kind with the binomial coefficients.at n=48A126351
- Records for unitary abundant numbers, i.e., those integers which set a record for having a greater unitary abundance than any of their predecessors.at n=33A129499