3709
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3710
- 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
- 3708
- Möbius Function
- -1
- Radical
- 3709
- 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
- 118
- 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
- 518
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 6 positive 6th powers.at n=26A003362
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=16A020370
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=45A023259
- Primes which when concatenated with next 3 primes are also prime.at n=30A030472
- Lower prime of a difference of 10 between consecutive primes.at n=48A031928
- Primes of form x^2+95*y^2.at n=27A033206
- Primes of form x^2+65*y^2.at n=24A033241
- Primes of form x^2+69*y^2.at n=29A033244
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=27A043076
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=39A044341
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049735.at n=17A049737
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=21A049791
- Primes of the form 2*n^2 + 11.at n=26A050265
- Numbers n such that 51*2^n-1 is prime.at n=22A050551
- Prime number spiral (clockwise, West spoke).at n=11A054570
- Primes of form n^2 + 19n + 17.at n=41A059425
- Erdős primes: primes p such that all p-k! for 1 <= k! < p are composite.at n=42A064152
- Expansion of Product_{k>=1} (1 + A001055(k)*x^k).at n=33A066816
- Number of primes in the interval [p(n), p(n)^2] minus p(n), where p(n) is the n-th prime.at n=43A066883
- Smallest odd prime not occurring in the numerator of any of the 2^n subset sums generated from the set 1/1, 1/2, 1/3, ..., 1/n.at n=15A075227