13084
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 22904
- Proper Divisor Sum (Aliquot Sum)
- 9820
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6540
- Möbius Function
- 0
- Radical
- 6542
- Omega Function (Ω)
- 3
- 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
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=27A031832
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=14A038594
- Numbers ending with '4' that are the difference of two positive cubes.at n=31A038859
- (n+4)^3 - n^3.at n=30A038866
- Increasing gaps in A038593 (upper terms).at n=12A093362
- Triangle T(n,k) = T(n-1, k) + T(n-1, k-1) + 7*T(n-2, k-1), read by rows.at n=38A153520
- Triangle T(n,k) = T(n-1, k) + T(n-1, k-1) + 7*T(n-2, k-1), read by rows.at n=42A153520
- The initial decimal digits of 2^a(n) are the decimal digits of n followed by n.at n=46A171652
- Numbers k such that k^2 - k - 1, k^3 - k - 1, and k^4 - k - 1 are all prime.at n=37A236171
- Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=30A255998
- Sum of the second largest parts in the partitions of n into 8 parts.at n=36A308997
- a(n) = 2^(1 + floor(n*log_2(3))) - (3^n + 1).at n=9A333813