9550
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 8306
- 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
- 3800
- Möbius Function
- 0
- Radical
- 1910
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique value such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=43A050032
- a(n) = a(n-1) + a(m) for n >= 3, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = 2.at n=43A050048
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=43A050064
- Even numbers seen in decimal expansion of Pi (disregarding the decimal period) contiguous, smallest and distinct.at n=45A050818
- Periods associated with A040017.at n=56A051627
- CONTINUANT transform of Catalan numbers 1, 2, 5, 14, 42, ...at n=4A071897
- a(n) = -1/16-3*n^2/8+17*n/12+n^3/12+(-1)^n/16.at n=49A088795
- a(n) = A028491(n) - 1.at n=11A090747
- Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row.at n=21A095182
- Numbers k such that 10^k + 13 is prime.at n=15A095688
- Number of permutations of length n which avoid the patterns 312, 1324, 3421; or avoid the patterns 312, 1324, 2341, etc.at n=22A116722
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 9.at n=40A136826
- 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, 1), (-1, 0, 1), (0, 1, 0), (1, -1, -1), (1, 0, 0)}.at n=8A149930
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,1 3,1 4,2 4,3 4,4 5,4 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155393
- Even numbers in the decimal expansion of Pi, contiguous and shortest.at n=71A164524
- Partial sums of A024785.at n=38A173060
- Total number of n-digit numbers requiring 3 positive cubes in their representation as sum of cubes.at n=4A181378
- Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) < cn(0,5).at n=13A202086
- Triangle of coefficients of polynomials u(n,x) jointly generated with A207634; see the Formula section.at n=50A207633
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x<R, y<R, z>R, where R=max{w,x,y,z}-min{w,x,y,z}.at n=9A212752