8075
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 3085
- 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
- 5760
- Möbius Function
- 0
- Radical
- 1615
- 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
- 70
- 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
- a(n) = (12*n+1)*(12*n+11).at n=7A001538
- a(n) is least k such that k and 8k are anagrams in base n (written in base 10).at n=9A023100
- a(n) = floor(n^3 / e).at n=28A032636
- Numbers whose base-6 representation has exactly 6 runs.at n=34A043614
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049747.at n=36A049750
- Logarithm of triangular matrix A102220, which equals [2*I - A008459]^(-1).at n=16A102222
- Number of different isotemporal classes of diasters with n peripheral edges.at n=44A109622
- Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 5 which is flat, i.e., with all blocks in parallel position.at n=4A123788
- Odd interprimes divisible by 17.at n=27A124620
- Odd interprimes divisible by 19.at n=20A126231
- Nonsquarefree "year numbers" (numbers n such that phi(n) = 2*phi(sigma(n)): A137815).at n=1A137816
- a(n) = 20*a(n-1) - 64*a(n-2) - 225 for n > 2; a(0) = 106, a(1) = 8075, a(2) = 114235.at n=1A166912
- Twin natural nonprimes with nonprime number of prime factors.at n=31A171995
- Irregular triangle of the square root of the sums of squares mentioned in A184763.at n=2A184886
- G.f. satisfies: A(x) = 1/(1 - x*A(x)^3/(1 - x^2*A(x)^3/(1 - x^3*A(x)^3/(1 - x^4*A(x)^3/(1 - ...))))), a recursive continued fraction.at n=6A192730
- Second elementary symmetric function of the first n terms of (1,2,2,3,3,4,4,5,5...).at n=19A203298
- Govindarajan's triangle C^{box 2} arising in enumeration of multi-dimensional partitions, read by rows.at n=55A216805
- Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 6 array.at n=13A219500
- Numerators of continued fraction transform of e; see Comments.at n=6A229595
- S_13 sequence in partition of integers > 1 described in A240521.at n=9A241025