3911
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3912
- 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
- 3910
- Möbius Function
- -1
- Radical
- 3911
- 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
- 82
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 541
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From relations between Siegel theta series.at n=45A006476
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=27A007700
- Coordination sequence T1 for Zeolite Code -ROG.at n=47A009859
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=10A020395
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=15A023271
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=10A025025
- [ 4th elementary symmetric function of sqrt(k+1) ], k = 1,2,...,n.at n=5A025221
- Primes of the form k^2 + k + 5.at n=19A027755
- 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=16A031559
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=32A031794
- 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=13A032530
- Primes p such that x^23 = 2 has no solution mod p.at n=25A040984
- Duplicate of A023271.at n=15A046121
- Primes p such that p+6 and p+8 are also primes.at n=30A046138
- p, p+8 and p+12 are primes.at n=32A046141
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 4).at n=48A046779
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=20A049438
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=11A052049
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=22A052231
- Prime number spiral (clockwise, North spoke).at n=12A054551