8112
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 22692
- Proper Divisor Sum (Aliquot Sum)
- 14580
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Discriminants of totally real quartic fields (see comments).at n=29A002769
- Number of spanning trees in a Moebius ladder M_n with 2n vertices.at n=6A020871
- Discriminants of totally real quartic fields.at n=38A023680
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 15.at n=5A031693
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=12A032444
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=25A032444
- Number of "connected animals" formed from n triakis truncated tetrahedra connected along hexagonal faces in the triakis truncated tetrahedral honeycomb, allowing translations, rotations, and reflections of the honeycomb.at n=9A038169
- Numbers divisible by the sum and product of their digits.at n=42A038186
- (s(n)+2)/10, where s(n)=n-th base 10 palindrome that starts with 8.at n=33A043087
- Numbers that cannot be expressed as k + floor(log(k)) where k is an integer.at n=8A045650
- a(n) = (8*(2^n) - n^2 - 3*n - 6)/2.at n=11A048492
- a(n) = n^2 * phi(n).at n=25A053191
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=31A060663
- Geometric mean of the digits = 2. In other words, the product of the digits is = 2^k where k is the number of digits.at n=42A061426
- Numbers from A066112 that are neither square nor twice a square, i.e., are not in A028982 but are in A028983.at n=29A066134
- Triangle related to generalized Catalan numbers A064340.at n=16A067327
- Numbers, not composed of the same digits, such that the geometric and arithmetic means of their decimal digits are integers.at n=31A067452
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=21A068410
- Harshad numbers which terminate in their digital sum.at n=45A070938
- Duplicate of A020871.at n=6A072615