8488
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
- 8
- Divisor Sum
- 15930
- Proper Divisor Sum (Aliquot Sum)
- 7442
- 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
- 4240
- Möbius Function
- 0
- Radical
- 2122
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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 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=29A031543
- Numbers having three 8's in base 10.at n=12A043523
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u2.at n=25A048190
- a(n) = n * Sum_{d|n} d*2^(d-1).at n=7A074225
- Generalized Catalan numbers C(2,8;n)=C(8,2;n).at n=4A116878
- Ulam's spiral (WNW spoke).at n=23A143859
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=7A150529
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=7A150551
- Numbers k such that 3 + 10^k + 3*100^k is prime.at n=12A171149
- Number of partitions of n with difference -2 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=40A242690
- Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=21A255793
- Expansion of f(-x^8)^2 / f(-x) in powers of x where f() is a Ramanujan theta function.at n=35A260164
- Number of little cubes visible around an n X n X n cube with a face on a table.at n=41A273982
- Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are > p/2.at n=12A282040
- Numbers with digits 4 and 8 only.at n=25A284972
- Numbers in which 8 outnumbers all other digits together.at n=40A292738
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.at n=46A297694
- Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.at n=8A297695
- Numbers k such that 393*2^k+1 is prime.at n=42A323041
- Numbers whose binary indices are connected and pairwise indivisible, where two numbers are connected iff they have a common factor. A hybrid ranking sequence for connected antichains of multisets.at n=40A371294