13411
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13412
- 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
- 13410
- Möbius Function
- -1
- Radical
- 13411
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- 1590
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=14A031836
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 3).at n=57A046765
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 3).at n=57A046777
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=38A050267
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=24A065044
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=26A065117
- a(1)=1, a(n+1) = a(n) + spf(Sum_{i=1..n} a(i)), where spf=A020639 (smallest prime factor).at n=27A080180
- Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P_6.at n=38A091769
- Primes with digital product = 12.at n=14A107697
- Smallest positive real Gaussian prime having a gap size of exactly A128106(n).at n=10A128109
- Primes of the form 47*n^2 - 1701*n + 10181.at n=17A128878
- a(1)=1; for n>=2, a(n) = the largest prime dividing n*a(n-1) + 1.at n=26A134487
- Prime numbers p such that p +- ((p-1)/3) are primes.at n=13A137703
- Primes congruent to 4 mod 41.at n=40A142201
- Primes congruent to 38 mod 43.at n=35A142287
- Primes congruent to 16 mod 47.at n=34A142367
- Primes congruent to 34 mod 49.at n=40A142443
- Primes congruent to 2 mod 53.at n=35A142532
- Primes congruent to 46 mod 55.at n=39A142633
- Primes congruent to 16 mod 57.at n=40A142675