4039
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4624
- Proper Divisor Sum (Aliquot Sum)
- 585
- 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
- 3456
- Möbius Function
- 1
- Radical
- 4039
- 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
- 144
- 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
- Coordination sequence T1 for Zeolite Code LTN.at n=44A008140
- Coordination sequence T6 for Zeolite Code VNI.at n=39A009912
- Generalized Fibonacci numbers.at n=9A015441
- Coordination sequence T1 for Zeolite Code CGF.at n=44A019451
- Ceiling of Gamma(n + 11/12)/Gamma(11/12).at n=7A020091
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=18A020391
- In base 11, a(n) = sum of digits of Lucas(a(n)).at n=35A025491
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=37A026068
- 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 63.at n=5A031561
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=31A031796
- Composite numbers whose prime factors contain no digits other than 5 and 7.at n=17A036320
- Shifts left under transform T where Ta is phi DCONV a.at n=41A038045
- Denominators of continued fraction convergents to sqrt(652).at n=10A042253
- Numbers having three 7's in base 8.at n=14A043451
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=33A045231
- 3*n^2-2*n+6.at n=37A047915
- a(n) = a(1) + a(2) + ... + 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) = 1, a(2) = 2, and a(3) = 1.at n=14A049901
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives i values.at n=27A053719
- Numbers k such that k^18 == 1 (mod 19^3).at n=10A056089
- Numbers n such that 7*3^n + 2 is prime.at n=12A058603