13183
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13184
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13182
- Möbius Function
- -1
- Radical
- 13183
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 244
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1569
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=16A002147
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=34A023274
- a(n) = 1*prime(n) + 2*prime(n-1) + ... + k*prime(n+1-k), where k=floor((n+1)/2) and prime(n) is the n-th prime.at n=33A023870
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (primes).at n=32A024867
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=8A031850
- A014486-indices of A083932-trees.at n=34A083934
- Total number of parts in all compositions of n into relatively prime parts.at n=11A085411
- Primes p whose Zeckendorf-expansion A014417(p) is palindromic.at n=9A095730
- Triangle read by rows: T(n,1) = 1, T(n,n) = n and for 1 < k < n: T(n,k) = T(n-1,k-1) + 2*T(n-1,k).at n=58A105728
- Primes in A112714.at n=43A112715
- Primes for which the weight as defined in A117078 is 23.at n=28A119504
- Primes of the form 88x^2+32xy+127y^2.at n=24A140630
- Primes congruent to 11 mod 37.at n=40A142120
- Primes congruent to 22 mod 41.at n=38A142219
- Primes congruent to 25 mod 43.at n=37A142274
- Primes congruent to 23 mod 47.at n=33A142374
- Primes congruent to 39 mod 53.at n=33A142569
- Primes congruent to 38 mod 55.at n=40A142628
- Primes congruent to 16 mod 57.at n=38A142675
- Primes congruent to 26 mod 59.at n=21A142753