13763
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13764
- 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
- 13762
- Möbius Function
- -1
- Radical
- 13763
- 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
- 120
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1629
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Fibonacci sequence beginning 1, 8.at n=17A022098
- Numbers k such that 255*2^k+1 is prime.at n=37A032504
- Primes with multiplicative persistence value 5.at n=31A046505
- Numbers m that divide Sum_{k=1..m} phi(k).at n=10A048290
- Numbers k that divide Sum_{j=1..k} A051953(j) where A051953(j) = j - Phi(j). Arithmetic mean of first k cototient values is an integer.at n=9A063986
- Numbers k such that prime(k) + prime(k+1) is a square.at n=34A064397
- Numbers n such that p(n) + p(n+1) is a square and n is prime.at n=6A064398
- The first of two consecutive primes with equal digital sums.at n=31A066540
- Least k for the Theodorus spiral to complete n revolutions.at n=36A072895
- a(1) = 1; then primes associated with A091850.at n=32A091851
- Primes that are the difference of two Lucas numbers; primes in A113191.at n=25A113192
- Number of base 11 circular n-digit numbers with adjacent digits differing by 9 or less.at n=4A125468
- Number of n X n arrays with entries in 1..11 in which adjacent entries differ by 9 or less (adjacent means in x or y directions).at n=2A125546
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=41A132746
- Running prime totals of prime factors (without multiplicity) of consecutive composite N.at n=35A140610
- Primes congruent to 28 mod 41.at n=38A142225
- Primes congruent to 3 mod 43.at n=40A142252
- Primes congruent to 39 mod 47.at n=34A142390
- Primes congruent to 43 mod 49.at n=39A142450
- Primes congruent to 36 mod 53.at n=26A142566