8559
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12720
- Proper Divisor Sum (Aliquot Sum)
- 4161
- 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
- 5688
- Möbius Function
- 0
- Radical
- 951
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 78
- 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
- no
- Odd
- yes
Appears in sequences
- Oscillates under partition transform.at n=45A007211
- Triangle of numbers associated with Genocchi numbers.at n=24A014784
- Sorted entries in triangle in A014784.at n=14A035003
- Numbers m such that sigma(m+1)+sigma(m-1) = 6*phi(m).at n=12A067243
- Numbers k such that phi(k) divides (sigma(k+1) + sigma(k-1)).at n=36A067244
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=30A072016
- Column 2 of triangle A091602.at n=42A091605
- Number of partitions of n into {number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers} numbers.at n=45A130900
- Partial sum of irregular primes A000928.at n=28A132360
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (1, -1), (1, 0), (1, 1)}.at n=7A151300
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=29A153058
- Eight white queens and one red queen on a 3 X 3 chessboard. G.f.: (1+x)/(1-5*x-7*x^2).at n=5A180032
- Number of idempotent 3 X 3 0..n matrices of rank 1.at n=34A224525
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order.at n=15A263506
- Number of (1+1) X (n+1) arrays of permutations of 0..n*2+1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order.at n=5A263507
- Number of compositions of n with strictly increasing differences.at n=39A325547
- The sixth term of the greedy B_n set of natural numbers.at n=11A369818
- Numbers k such that any two consecutive decimal digits of k^2 differ by 1 after arranging the digits in decreasing order.at n=19A370362