2719
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2720
- 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
- 2718
- Möbius Function
- -1
- Radical
- 2719
- 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
- 66
- 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
- 397
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of bipartite partitions of n white objects and 3 black ones.at n=13A000412
- Odd numbers that are not of the form x^2 + y^2 + 10*z^2.at n=17A003585
- Coordination sequence T1 for Zeolite Code AET.at n=36A008007
- Coordination sequence T1 for Zeolite Code DFO.at n=40A009875
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=27A014223
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=50A017862
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=5A020403
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=39A023243
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=32A023252
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=21A023262
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=18A023274
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=27A023288
- Primes that remain prime through 4 iterations of function f(x) = 2x + 5.at n=8A023304
- a(n) = position of n^3 + 9 in A003072.at n=28A024971
- a(n) = Sum_{i=0..n} Sum_{j=0..n} A026637(i,j).at n=10A026646
- a(n) = prime(10*n-3).at n=39A031391
- 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 51.at n=13A031549
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=8A031800
- Lower prime of a difference of 10 between consecutive primes.at n=36A031928
- Primes of form x^2+51*y^2.at n=28A033233