4288
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
- 14
- Divisor Sum
- 8636
- Proper Divisor Sum (Aliquot Sum)
- 4348
- 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
- 2112
- Möbius Function
- 0
- Radical
- 134
- 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
- 33
- 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 k such that 17*2^k - 1 is prime.at n=24A001774
- Numbers that are the sum of 4 positive 6th powers.at n=18A003360
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=44A004855
- Primitive pseudoperfect numbers.at n=60A006036
- Number of shapes of height-balanced AVL trees with n nodes.at n=17A006265
- Number of 5th-order maximal independent sets in path graph.at n=47A007380
- sec(tanh(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4288/6!*x^6+426240/8!*x^8...at n=3A013139
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=36A020379
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(8,65).at n=3A022039
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=38A025366
- a(n) = Sum_{k=0..m} (k+1) * A026022(n, k), where m=n for n=0,1 and m = floor((n+3)/2) for n >= 2.at n=10A027298
- Numbers with 14 divisors.at n=19A030632
- 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 31.at n=25A031529
- Number of ways to partition n labeled elements into pie slices of different sizes.at n=9A032144
- Dirichlet convolution of b_n=2^(n-1) with itself.at n=11A034733
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=18A036662
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=40A037264
- Sum of reciprocals of digits = 1.at n=22A037268
- Number of n-node rooted identity trees of height 6.at n=10A038090
- Numbers having three 0's in base 8.at n=23A043423