8102
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12156
- Proper Divisor Sum (Aliquot Sum)
- 4054
- 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
- 4050
- Möbius Function
- 1
- Radical
- 8102
- Omega Function (Ω)
- 2
- 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
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Sum of 12 nonzero 8th powers.at n=19A003390
- Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.at n=9A004791
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=45A005899
- Number of steps to compute n-th prime in PRIMEGAME (slow version).at n=6A007547
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=30A010002
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=18A010015
- 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 90.at n=0A031588
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 90.at n=1A031768
- Base-7 palindromes that start with 3.at n=34A043017
- (s(n)+2)/10, where s(n)=n-th base 10 palindrome that starts with 8.at n=32A043087
- a(n) = A033001(n)/4.at n=43A043307
- Lexicographical-support sequence T(n,k), n,k nonnegative: total number of checks required by a "lexicographical" algorithm to find out which rows and columns of each of the n by k zero-one matrices are nonzero.at n=33A058547
- McKay-Thompson series of class 38A for Monster.at n=42A058657
- Numbers n such that n*359# +-1 are twin primes, where 359# = 72nd primorial (A002110(72)).at n=6A087907
- A hexagonal spiral Fibonacci sequence.at n=20A094926
- Numbers n such that 65537 * 2^n - 1 is prime.at n=23A109993
- a(n) = 3*A146085(n) - 1.at n=48A146087
- a(n) = 2025*n^2 + n.at n=1A156856
- Row sums of triangle defined in A113821.at n=24A160969
- Number of partitions into a triangular number of parts.at n=40A178927