9135
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 9585
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 3045
- Omega Function (Ω)
- 5
- 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
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 10 positive 7th powers.at n=41A003377
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=20A005231
- Minimal number of moves for the cyclic variant of the Towers of Hanoi for 3 pegs and n disks, with the final peg two steps away.at n=9A005666
- Odd primitive abundant numbers.at n=15A006038
- Triangle of numbers arising from analysis of Levine's sequence A011784.at n=30A014621
- Take list of cubes, move left digit of each term to end of previous term.at n=18A032761
- Increasing sequence with no repeating digits and no digits shared with previous term.at n=29A054659
- A hierarchical sequence (S(W2{3}*) - see A059126).at n=8A059142
- Smallest multiple of 2n+1 with property that digits are odd and each digit is two more (mod 10) than the previous digit; or 0 if no such number exists.at n=31A062886
- Smallest multiple of 2n+1 with property that digits are odd and each digit is two more (mod 10) than the previous digit; or 0 if no such number exists.at n=14A062886
- a(n) = lcm(n, n+1, n+2, n+3)/12.at n=26A067047
- Floor of concatenation of n, n+1, n+2, n+3, n+4 divided by 5.at n=4A074995
- Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer.at n=12A075460
- Final members of groups in A076105.at n=30A076102
- Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n^3 + 9*n^2 + 26*n)/6.at n=35A092286
- Smallest available integer which fits into the repeating pattern 13579.at n=16A098758
- Decimal part of 1/a(n) starts with Fibonacci(n) (leading zeros excluded).at n=20A099405
- Real part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=35A102531
- The sum of a triangular array made from a negative 6 fold permutation product with shifts up and down of {2,6}.at n=33A105162
- Lynch-Bell numbers n such that 5 is a digit of n.at n=10A116957