13544
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25410
- Proper Divisor Sum (Aliquot Sum)
- 11866
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6768
- Möbius Function
- 0
- Radical
- 3386
- Omega Function (Ω)
- 4
- 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
- 37
- 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
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 5).at n=47A035563
- Numbers k such that 2^k - F(k) is prime, where F(n) is the n-th Fibonacci number.at n=15A074716
- Even elements of A085493.at n=29A106431
- a(n) = (n^3 + 3*n - 2)/2.at n=29A132127
- Ulam's spiral (WSW spoke).at n=29A143854
- Half the number of 0..7 arrays of length n+2 with second differences nonzero.at n=2A212781
- T(n,k)=Half the number of 0..k arrays of length n+2 with second differences nonzero.at n=38A212782
- Half the number of 0..n arrays of length 5 with second differences nonzero.at n=6A212784
- G.f.: 1 = Sum_{n>=0} a(n) * x^n * Sum_{k=0..n} C(n,k)^3 * (-x)^k.at n=4A247032
- Number of partitions of n such that least and largest parts are distinct and occur the same number of times.at n=44A265259
- Number of length-n 0..3 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.at n=6A269614
- T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.at n=42A269619
- Number of length-7 0..n arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.at n=2A269623
- Sum of the even parts in the partitions of n into 5 parts.at n=36A309547
- Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^j).at n=32A327063
- Number of integers less than the (n+1)-th primorial such that the maximal exponent in their prime factorization is larger than the maximal digit in their primorial base expansion.at n=6A351068
- Number of unlabeled nonseparable (or 2-connected) multigraphs with n edges and degree >= 3 at each node, loops allowed.at n=11A360871
- Expansion of -1/(1 - x * (1-9*x)^(1/3)).at n=7A362157
- Number of subsets of {1..n} containing all of their own first differences.at n=17A364671
- Number of compositions of n such that the set of absolute differences is a subset of the set of parts.at n=20A368557