3937
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
- 4
- Divisor Sum
- 4096
- Proper Divisor Sum (Aliquot Sum)
- 159
- 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
- 3780
- Möbius Function
- 1
- Radical
- 3937
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 126
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^35 - 1.at n=5A003542
- Coordination sequence T1 for Zeolite Code ATT.at n=45A008041
- Coordination sequence T1 for Zeolite Code EUO.at n=39A008095
- Numbers whose sum of divisors is a fourth power.at n=14A019422
- Numbers whose sum of divisors is a sixth power.at n=2A019424
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=11A020395
- Numbers whose sum of divisors is a cube.at n=25A020477
- a(n) = n * prime(n).at n=30A033286
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=31A033954
- Numerators of continued fraction convergents to sqrt(992).at n=2A042920
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=0A045232
- Numbers that are a product of distinct Mersenne primes (elements of A000668).at n=12A046528
- Row 3 of square array defined in A047671.at n=12A047672
- a(n)=T(n,n), array T as in A049735.at n=25A049740
- Numbers n such that 211*2^n-1 is prime.at n=10A050857
- Sum of divisors of n, sigma(n) (A000203), is a power of number of divisors of n, d(n) (A000005).at n=8A051281
- Integers > 1 whose prime divisors are all Mersenne primes (i.e., of the form (2^p - 1)).at n=38A056652
- Numerator of Sum_{k<=n} P(k)/p(k), where p(k) (resp. P(k)) is smallest (resp. largest) prime divisor of k.at n=52A057158
- Numbers k such that sigma(usigma(k)) is prime.at n=3A063103
- a(n) = 2*prime(n)^2 - prime(n+1)^2.at n=18A064051