4038
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8088
- Proper Divisor Sum (Aliquot Sum)
- 4050
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1344
- Möbius Function
- -1
- Radical
- 4038
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 113
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of basic invariants for cyclic group of order and degree n.at n=17A002956
- Coordination sequence T2 for Zeolite Code CZP.at n=41A019457
- Nearest integer to Gamma(n + 11/12)/Gamma(11/12).at n=7A020001
- a(n) = floor(Gamma(n+11/12)/Gamma(11/12)).at n=7A020046
- Convolution of A023532 and Lucas numbers.at n=15A023597
- a(n) = (Sum_{i=0..n-1} 1/b(i)) * LCM{b(i): i=0..n-1}, where b(i) = C(i,floor(i/2)).at n=10A025553
- 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 42.at n=19A031540
- Numbers m such that m^2 ends in 444.at n=16A039685
- Denominators of continued fraction convergents to sqrt(199).at n=7A041369
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=32A045231
- Numbers n such that 261*2^n-1 is prime.at n=24A050889
- Positions in decimal expansion of Pi where next prime begins.at n=35A053013
- a(n+1) = a(n)-th composite number, with a(1) = 11.at n=24A059407
- a(n) = largest number m such that A024936(m) is n.at n=44A068308
- Numbers n such that the number of primes between n^2 and (n+1)^2 = the number of primes between n and Reverse(n) (inclusive).at n=12A074817
- Interprimes which are of the form s*prime, s=6.at n=35A075281
- Even interprimes from A075688.at n=12A075689
- Convolution of the prime numbers with phi(n).at n=22A086734
- a(n) = {A089713(n)+A070219(n)}/2.at n=37A089715
- a(n) = number of Egyptian fractions 1 = 1/x_1 + ... + 1/x_k (for any k), with max{x_i}=n.at n=9A092667