8182
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12276
- Proper Divisor Sum (Aliquot Sum)
- 4094
- 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
- 4090
- Möbius Function
- 1
- Radical
- 8182
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of free subsets of multiplicative group of GF(2^n).at n=13A007230
- Apply partial sum operator thrice to partition numbers.at n=15A014160
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=6A014885
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=20A023627
- Number of partitions of n in which the least part is 3.at n=53A026796
- Pair up the numbers.at n=40A030655
- 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=5A031588
- (s(n)+2)/10, where s(n)=n-th base 10 palindrome that starts with 8.at n=40A043087
- McKay-Thompson series of class 18B for the Monster group.at n=18A058532
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=21A063370
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=40A068517
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=37A089187
- Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted).at n=30A091341
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=41A098080
- Irregular array where the n-th row are the divisors, not occurring earlier in the sequence, of the sum of the terms in all previous rows. a(1)=3.at n=37A120577
- Residues of 3^(2^(p(n)-1)+1) for Mersenne numbers with prime indices.at n=5A131460
- 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, 0), (-1, -1, 1), (-1, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A149852
- Coefficients of the second order mock theta function B(q).at n=31A153140
- The first of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines.at n=44A169677
- Values n such that n and n+1 are both in A037073.at n=27A173167