8484
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22848
- Proper Divisor Sum (Aliquot Sum)
- 14364
- 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
- 2400
- Möbius Function
- 0
- Radical
- 4242
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 109
- 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 whose consecutive digits differ by 4.at n=50A048406
- Column 2 of triangle A055907.at n=24A055908
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=39A058229
- Numbers k such that cototient(k) is a square and sets a new record for squares.at n=24A063753
- a(n)=phi(n^2+1)/n if (n^2+1) is composite and phi(n^2+1)==0 (mod n).at n=25A067926
- Convolution of the prime numbers with phi(n).at n=28A086734
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 11 for n > 0.at n=15A101078
- Number of 5 X 5 arrays of squares of integers, symmetric about main diagonal, with all rows summing to n.at n=38A156385
- A partition product of Stirling_1 type [parameter k = -4] with biggest-part statistic (triangle read by rows).at n=22A157384
- A partition product of Stirling_1 type [parameter k = 4] with biggest-part statistic (triangle read by rows).at n=22A157394
- A partition product of Stirling_2 type [parameter k = -4] with biggest-part statistic (triangle read by rows).at n=22A157398
- A partition product of Stirling_2 type [parameter k = 4] with biggest-part statistic (triangle read by rows).at n=22A157404
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 8 being respectively unique.at n=19A170814
- Record values of A175047.at n=49A171598
- A triangle of polynomial coefficients:p(x,n)=Sum[(k + 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^(x - n).at n=51A176667
- Number of nonempty subsets of {1, 2, ..., n} with <=6 pairwise coprime elements.at n=24A187267
- Number of nondecreasing -n..n vectors of length 4 whose dot product with some lexicographically greater or equal nondecreasing -n..n vector equals 4.at n=9A226425
- 3n concatenated with itself.at n=27A248038
- 4n concatenated with itself.at n=20A248365
- Even integers concatenated with themselves.at n=41A248422