4384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8694
- Proper Divisor Sum (Aliquot Sum)
- 4310
- 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
- 2176
- Möbius Function
- 0
- Radical
- 274
- Omega Function (Ω)
- 6
- 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
- 95
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=25A003379
- Coordination sequence T6 for Zeolite Code MTW.at n=43A008201
- Coordination sequence T2 for Milarite.at n=41A008257
- Coordination sequence T3 for Zeolite Code VET.at n=40A009904
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=29A011887
- sec(arctan(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4384/6!*x^6+436992/8!*x^8...at n=3A013007
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 5, with initial values 1,0,1,0.at n=15A025275
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=39A025366
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=13A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=13A025413
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 17 (most significant digit on right and removing all least significant zeros before concatenation).at n=7A029534
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=39A029896
- 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 33.at n=14A031531
- Signed double Pochhammer triangle: expansion of x(x-2)(x-4)..(x-2n+2).at n=16A039683
- a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6.at n=21A043077
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=33A045035
- Number of complementary pairs of circulant graphs on n nodes.at n=29A054929
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=29A063338
- Numbers k such that 4*k! + 1 is prime.at n=22A076680
- Sum of primitive roots of n-th prime.at n=32A088144