8072
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15150
- Proper Divisor Sum (Aliquot Sum)
- 7078
- 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
- 4032
- Möbius Function
- 0
- Radical
- 2018
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 114
- 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
- Aliquot sequence starting at 180.at n=43A008891
- 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 21.at n=41A031519
- Euler transform of A027656(n-1).at n=27A035528
- Numerators of continued fraction convergents to sqrt(942).at n=4A042822
- Numbers whose base-6 representation has exactly 6 runs.at n=31A043614
- Numbers n such that 5*10^n-1 is prime.at n=13A056712
- Number of cubes of primes <= 2^n.at n=49A060969
- G.f.: (1+3*x^3)/((1-x)^2*(1-x^3)^2).at n=46A092352
- Structured disdyakis triacontahedral numbers (vertex structure 7).at n=7A100159
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^3).at n=39A127759
- Row sums of triangle A138015.at n=14A138016
- Maximal length of rook tour on an n X n+4 board.at n=20A152135
- a(n) = 4*n^2 + 24*n + 8.at n=41A153642
- Number of ON cells at n-th stage of three-dimensional version of the cellular automaton A160410, using cubes.at n=13A160428
- Number of "ON" cubic cells at n-th stage in simple 3-dimensional cellular automaton: a(n) = A160428(n)/8.at n=26A161342
- T(n,m) = Number of ways to partition an nXm grid into 5 connected equal-area regions.at n=68A167261
- T(n,m) = Number of ways to partition an nXm grid into 5 connected equal-area regions.at n=75A167261
- Third terms "c" of quadruples a>b>c>d>0 with six square pairwise sums.at n=39A175537
- First of two consecutive numbers with at least one 3 in their prime signature.at n=40A176313
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=|x-y|+|y-z|.at n=25A212676