3719
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3720
- 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
- 3718
- Möbius Function
- -1
- Radical
- 3719
- 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
- 43
- 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
- 519
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=35A001126
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=33A002146
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=18A007419
- a(n) = 2^n - Fibonacci(n+2).at n=12A008466
- If a, b in sequence, so is ab+7.at n=32A009312
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=41A023246
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=39A023247
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=30A023263
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=18A023301
- Primes that remain prime through 4 iterations of function f(x) = 10x + 9.at n=5A023329
- Sequence satisfies T(T(a))=a, where T is defined below.at n=55A027581
- Primes of the form k^2 - 2.at n=18A028871
- 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 59.at n=24A031557
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=9A032530
- Quotient of 'base-23' division described in A032577.at n=53A032578
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=33A032695
- Primes of form x^2 + 94*y^2.at n=31A033204
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) <= cn(3,5) = cn(4,5).at n=65A036848
- Numerators of continued fraction convergents to sqrt(413).at n=5A041784
- Numerators of continued fraction convergents to sqrt(473).at n=4A041902