8384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 16764
- Proper Divisor Sum (Aliquot Sum)
- 8380
- 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
- 4160
- Möbius Function
- 0
- Radical
- 262
- Omega Function (Ω)
- 7
- 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
- 34
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- (Presumed) solution to Waring's problem: g(n) = 2^n + floor((3/2)^n) - 2.at n=12A002804
- Low-temperature series in y = exp(2J/kT) for antiferromagnetic susceptibility for the Ising model on honeycomb structure.at n=11A002978
- Numbers that are the sum of 5 positive 6th powers.at n=39A003361
- Expansion of e.g.f.: log(1+sin(x))/exp(x).at n=9A009337
- Indices of prime Mersenne numbers (A001348).at n=27A016027
- Numbers with 14 divisors.at n=35A030632
- Pair up the numbers.at n=41A030655
- 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 45.at n=26A031543
- a(n) = 2*n*(4*n + 3).at n=32A033587
- Numbers k such that k*2^k + (k+1) is prime.at n=7A046845
- Number of step cyclic shifted sequence structures using exactly two different symbols.at n=22A056434
- Number of primitive (period n) step cyclic shifted sequence structures using a maximum of two different symbols.at n=22A056439
- Number of primitive (period n) step cyclic shifted sequence structures using exactly two different symbols.at n=22A056444
- Numbers m such that 2*m - sigma(m) is a divisor of m and greater than one, where sigma = A000203 is the sum of divisors.at n=10A060326
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=28A060675
- Row sums of triangle in A077569.at n=13A077570
- Triangle read by rows, in which n-th row contains smallest set of n consecutive numbers with distinct prime signatures.at n=54A083788
- Diagonal of A083788.at n=9A083789
- Duplicate of A083789.at n=9A086562
- Even and odd solutions to abs(sigma(x)-2x) <= log(x). Numbers n whose abundance-radius does not exceed log(n).at n=34A088011