13085
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15708
- Proper Divisor Sum (Aliquot Sum)
- 2623
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10464
- Möbius Function
- 1
- Radical
- 13085
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n and n-1 are differences between 2 positive cubes in at least one way.at n=14A038595
- Gaps of 10 in sequence A038593 (lower terms).at n=10A038659
- Numbers ending with '5' that are the difference of two positive cubes.at n=34A038860
- a(n) = (n+5)^3 - n^3.at n=27A038867
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 11.at n=14A051976
- Difference between 3^n and the next larger or equal power of 2.at n=9A063003
- Difference between 2^n and the next smaller or equal power of 3.at n=15A063005
- a(n) = minimum value of abs(2^n - 3^k).at n=15A064024
- List of values of 2^ceiling(log_2(3^k)) - 3^k for k >= 1, sorted in increasing order.at n=9A102872
- First differences of A006899.at n=23A108906
- Number of partitions of n such that the size of the tail below the Durfee square is equal to the size of the tail to the right of the Durfee square.at n=55A114424
- Number of (n+3) X 8 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=10A188101
- Monotonic ordering of nonnegative differences 8^i-3^j, for 40>= i>=0, j>=0.at n=21A192156
- Indices of zeros in A268819.at n=56A269157
- Number of integer partitions of n such that more than one set can be obtained by choosing a different divisor of each part.at n=53A370803