3967
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3968
- 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
- 3966
- Möbius Function
- -1
- Radical
- 3967
- 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
- 51
- 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
- 549
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=32A001125
- From relations between Siegel theta series.at n=47A006476
- Coordination sequence T9 for Zeolite Code MFI.at n=40A008172
- Lonely (or isolated) primes: increasing distance to nearest prime.at n=7A023186
- Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=10A023188
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=35A023255
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=11A023286
- Primes of the form k^2 - 2.at n=19A028871
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=27A029705
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=41A029732
- 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=22A031559
- Upper prime of a difference of 20 between consecutive primes.at n=4A031939
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=29A034075
- Multiplicity of highest weight (or singular) vectors associated with character chi_98 of Monster module.at n=40A034486
- Sums of 11 distinct powers of 2.at n=4A038462
- Numerators of continued fraction convergents to sqrt(551).at n=4A042054
- Numbers having three 7's in base 8.at n=12A043451
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=24A045246
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=38A050037
- Lonely numbers: distance to closest prime sets a new record.at n=11A051650