3877
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
- 3878
- 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
- 3876
- Möbius Function
- -1
- Radical
- 3877
- 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
- 537
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code MEL.at n=40A008151
- "Pascal sweep" for k=8: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=60A009522
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=28A010338
- Powers of fifth root of 24 rounded down.at n=13A018183
- Powers of fifth root of 24 rounded to nearest integer.at n=13A018184
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=46A023250
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=48A023266
- a(n) = floor(binomial(2*n,n)/3^n).at n=37A024503
- Number of connected functions on n points with a loop of length 5.at n=8A029868
- Upper prime of a difference of 14 between consecutive primes.at n=22A031933
- Primes of form x^2+41*y^2.at n=27A033228
- Primes of form x^2+61*y^2.at n=35A033239
- Decimal part of a(n)^(1/2) starts with reversal of its integer part: first term of runs.at n=46A034308
- a(n) = a(n-2) + 2*a(n-3) + a(n-4).at n=16A036605
- Denominators of continued fraction convergents to sqrt(107).at n=7A041193
- Denominators of continued fraction convergents to sqrt(118).at n=7A041215
- Denominators of continued fraction convergents to sqrt(472).at n=11A041901
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n-1.at n=38A044409
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n+1.at n=38A044790
- Primes p such that p+4 and p+12 are also prime.at n=31A046137