3739
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3740
- 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
- 3738
- Möbius Function
- -1
- Radical
- 3739
- 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
- 113
- 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
- 522
- 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=36A001126
- a(1)=3, b(n) = Product_{k=1..n} a(k), a(n+1) is the largest prime factor of (b(n)-1).at n=6A005266
- Shifts left when inverse Moebius transform applied twice.at n=34A007557
- Coordination sequence T1 for Zeolite Code OSI.at n=40A016430
- Number of partitions of n into 5 unordered relatively prime parts.at n=51A023025
- Right-truncatable primes: every prefix is prime.at n=35A024770
- 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 61.at n=2A031559
- Concatenation of n and n + 2 or {n,n+2}.at n=36A032607
- Primes that are concatenations of n with n + 2.at n=4A032625
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 3.at n=10A038634
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=37A043071
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=19A046008
- Lower members of a "good pair" of the form (k, 2*k +- 1).at n=41A046861
- Concatenate prevprime(n) and n.at n=36A049851
- a(n) = floor(47*(n-3/2)^(3/2)).at n=18A050256
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=32A055628
- Primes q of form q = 10p + 9, where p is also prime.at n=38A055784
- Local ranks of terms of A057122.at n=31A057124
- Primes p such that p^5 reversed is also prime.at n=21A059698
- Primes p such that p^11 reversed is also prime.at n=17A059704