7282
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
- 8
- Divisor Sum
- 11952
- Proper Divisor Sum (Aliquot Sum)
- 4670
- 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
- 3300
- Möbius Function
- -1
- Radical
- 7282
- Omega Function (Ω)
- 3
- 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
- 119
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Quadrinomial coefficients.at n=9A005720
- 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 84.at n=16A031582
- Take list of cubes, move left digit of each term to end of previous term.at n=13A032761
- Multiplicity of highest weight (or singular) vectors associated with character chi_77 of Monster module.at n=36A034465
- a(n) = ceiling(2^(n-1)/n).at n=17A053637
- Nearest integer to 2^(n-1)/n.at n=17A054650
- Numbers n such that n | 11^n + 9^n + 7^n + 5^n + 3^n + 1.at n=21A057832
- Nearest integer to n^6/36.at n=7A061004
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 24 (most significant digit on right, least significant zeros not written).at n=18A061953
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=27A064842
- Period of the continued fraction for sqrt(3^(2n+1)).at n=7A064932
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=11A091332
- Greatest number having exactly n representations as ab+ac+bc with 1 <= a <= b <= c.at n=10A094380
- Triangle T(n,k), read by rows, formed by setting all entries in the zeroth column ((n,0) entries) and the main diagonal ((n,n) entries) to powers of 2 with all other entries formed by the recursion T(n,k) = T(n-1,k) + T(n,k-1).at n=49A096466
- Number of polyominoes consisting of 5 regular unit n-gons.at n=39A103471
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=46A110623
- Expansion of x^3/(1 - 2*x + x^3 - 2*x^4) = x^3/( (1-2*x)*(1+x)*(1-x+x^2) ).at n=16A113405
- a(n) = 7 + floor((2 + Sum_{j=1..n-1} a(j))/3).at n=24A120153
- First differences of (A113405 prefixed with a 0).at n=16A131666
- a(n) = 3 A113405(n)- A113405(n+1).at n=16A133511