8848
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 19840
- Proper Divisor Sum (Aliquot Sum)
- 10992
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 1106
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=15A003000
- sech(sinh(x)*sin(x)) = 1-12/4!*x^4+8848/8!*x^8-45051072/12!*x^12...at n=2A012532
- Numbers having three 8's in base 10.at n=20A043523
- Numbers k such that 6*10^k+1 is prime.at n=24A056805
- Gregorian calendar years with Ascension Day in April.at n=37A084427
- a(n) = Sum_{i=1..n} A005235(i).at n=47A097589
- Greater of a,b where n^2 = a^3 + b^3; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426.at n=27A099533
- A Chebyshev transform of the Pell numbers.at n=16A100048
- a(n) = 2*a(n-1) + 2*a(n-2) - 2*a(n-3) with a(0)=3, a(1)=2, a(3)=8.at n=10A107300
- s(n) = floor(n^(n/5)/n!!!!!).at n=56A114869
- a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards.at n=24A119712
- a(1)=1, a(n)=a(n-1)+n^1 if n odd, a(n)=a(n-1)+ n^5 if n is even.at n=6A140147
- The Wiener index of a chain of n squares joined at vertices (i.e., joined like <><><>...<>; here <> is a square!).at n=13A143943
- a(n) = 343*n - 70.at n=25A157374
- Number of binary strings of length n with no substrings equal to 0001 or 0111.at n=17A164397
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=27A168254
- Partial sums of floor(Fibonacci(n)/2).at n=20A178982
- Let A(x) satisfy: A(x) = 1 + x*A(x)^phi where phi = (sqrt(5)+1)/2, then this sequence equals the integer part of the coefficients of A(x).at n=12A184785
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 3.at n=26A209986
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime.at n=26A254541