11340
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 40656
- Proper Divisor Sum (Aliquot Sum)
- 29316
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2592
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 8
- 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
- 81
- 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) = (2*n - 1)*n^2.at n=18A015237
- Quadruples of different integers from [ 1,n ] with no common factors between triples.at n=26A015625
- Expansion of Product_{m>=1} (1 + m*q^m)^6.at n=7A022634
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=7A036458
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=30A037183
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=35A037257
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=35A051873
- Least k for which the integers floor(2k/(m*(m+1))) for m=1,2,...,n are distinct.at n=39A054064
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=17A057370
- a(n) = 18*(n - 2)*(2*n - 5).at n=18A060787
- a(n) = prime(n)^2 - prime(n+1).at n=27A062235
- Eighth column (k=7) of sextinomial array A063260.at n=8A063262
- Prime(n^2) +/- n are primes.at n=35A064495
- Numbers m such that m*tau(m)>5*prime(m).at n=23A068547
- First differences of A069473.at n=3A069474
- Numbers k such that the harmonic mean of the divisors of k is the square of a rational number.at n=8A074266
- Triangle T(n,k) giving number of labeled cyclic subgroups of order k in symmetric group S_n, n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.at n=49A074881
- Stirling2 triangle with scaled diagonals (powers of 9).at n=25A075504
- Fifth column of triangle A075504.at n=2A076011
- a(n) = n*(n - 1)*(n + 2)/2.at n=27A077414