3779
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3780
- 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
- 3778
- Möbius Function
- -1
- Radical
- 3779
- 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
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 526
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=28A000353
- a(n) = a(n-1)*a(n-2) + a(n-3).at n=11A001064
- a(n) = 3*n^2 + 3*n - 1.at n=35A004538
- From relations between Siegel theta series.at n=44A006476
- Coordination sequence T4 for Zeolite Code EUO.at n=38A008099
- The smallest representative in a cycle of circular primes, where circular primes are numbers that remain prime under cyclic shifts of digits.at n=14A016114
- Primes p whose digits do not appear in p^2.at n=44A030086
- Primes which when concatenated with next 3 primes are also prime.at n=31A030472
- 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=4A031559
- Lower prime of a pair of consecutive primes having a difference of 14.at n=20A031932
- Primes of form x^2+59*y^2.at n=23A033238
- a(n) = floor(10000/sqrt(n)).at n=6A033433
- Number of binary codes of length 5 with n words.at n=24A034190
- Number of binary codes of length 5 with n words.at n=8A034190
- Number of binary codes (not necessarily linear) of length n with 8 words.at n=4A034203
- Irregular triangle read by rows: T(n,k) = number of binary codes of length n with k words (n >= 0, 0 <= k <= 2^n); also number of 0/1-polytopes with vertices from the unit n-cube; also number of inequivalent Boolean functions of n variables with exactly k nonzero values under action of Jevons group.at n=60A039754
- Irregular triangle read by rows: T(n,k) = number of binary codes of length n with k words (n >= 0, 0 <= k <= 2^n); also number of 0/1-polytopes with vertices from the unit n-cube; also number of inequivalent Boolean functions of n variables with exactly k nonzero values under action of Jevons group.at n=44A039754
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n+1.at n=37A044790
- Primes of the form 4*k^2 + 4*k + 59.at n=26A048988
- a(n) = A048141(3*n).at n=42A051061