2083
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2084
- 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
- 2082
- Möbius Function
- -1
- Radical
- 2083
- 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
- 125
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 314
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1+x)*(1-x)^9).at n=6A001780
- Class 4+ primes (for definition see A005105).at n=37A005108
- Coordination sequence T9 for Zeolite Code EUO.at n=28A008104
- Expansion of 1/( Product_{j=0..5} (1-x^(2*j+1)) ).at n=59A008675
- Coordination sequence T3 for Zeolite Code ZON.at n=32A009921
- Number of internal nodes of even outdegree in all ordered rooted trees with n edges.at n=7A014301
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=40A017840
- Continued fraction for e^Pi - Pi.at n=12A018939
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=1A020413
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=22A021007
- Initial members of prime triples (p, p+4, p+6).at n=26A022005
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=3, a(1)=11.at n=12A022410
- Primes that remain prime through 2 iterations of function f(x) = 9x + 2.at n=32A023265
- Primes that are palindromic in base 5.at n=15A029973
- a(n) = prime(9n-1).at n=34A031375
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 45.at n=4A031543
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=2A031802
- a(n) = prime(8*n - 6).at n=39A031912
- a(n) = prime(10*n - 6).at n=31A031914
- Four consecutive primes whose 'last digit cycle' equals {1,3,7,9}.at n=37A032591