5741
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5742
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5740
- Möbius Function
- -1
- Radical
- 5741
- 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
- yes
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 755
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pell numbers: a(0) = 0, a(1) = 1; for n > 1, a(n) = 2*a(n-1) + a(n-2).at n=11A000129
- Numbers k such that 2*k^2 - 1 is a square.at n=5A001653
- Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z.at n=17A002559
- Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=22A002965
- Primitive parts of Pell numbers.at n=10A008555
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=32A020352
- a(n) = sum of the numbers between the two n's in A026366.at n=39A026369
- a(n) = Fibonacci(n) - 2^(floor(n/2)).at n=20A028892
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=30A031418
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=39A033548
- Multiplicity of highest weight (or singular) vectors associated with character chi_31 of Monster module.at n=35A034419
- Denominators of continued fraction convergents to sqrt(8).at n=10A041011
- Numbers having three 7's in base 9.at n=28A043483
- Primes p such that p+2 and 2p+1 are also prime.at n=42A045536
- Primes whose consecutive digits differ by 2 or 3.at n=34A048414
- Essentially a duplicate of A000129.at n=9A048624
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=33A049437
- Numbers k such that 111*2^k-1 is prime.at n=34A050581
- Triangle of partial row sums of triangle A037027(n,m), n >= m >= 0 (Fibonacci convolution triangle).at n=55A054446
- Convolution triangle of A000129(n) (Pell numbers).at n=55A054456