2782
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
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 1754
- 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
- 1272
- Möbius Function
- -1
- Radical
- 2782
- 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
- 115
- 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
- a(n) is the solution to the postage stamp problem with 4 denominations and n stamps.at n=18A001209
- Numbers k such that phi(2k+1) < phi(2k).at n=37A001837
- Site percolation series for square lattice.at n=16A006731
- Coordination sequence T4 for Zeolite Code AFR.at n=40A008022
- Coordination sequence T1 for Zeolite Code LOV.at n=35A008134
- Coordination sequence T1 for Zeolite Code RTE.at n=36A009890
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=44A025217
- Sequence satisfies T(T(a))=a, where T is defined below.at n=52A027581
- Numbers k such that Hofstadter Q-sequence Q(k) (A005185) satisfies Q(k) = k/2.at n=37A027619
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=26A033954
- Trajectory of 3 under map n->37n+1 if n odd, n->n/2 if n even.at n=15A037116
- Coordination sequence T2 for Zeolite Code ESV.at n=35A038410
- Numerators of continued fraction convergents to sqrt(702).at n=2A042350
- Numbers whose base-14 representation has exactly 4 runs.at n=22A043665
- Numbers k such that string 3,1 occurs in the base 9 representation of k but not of k-1.at n=38A044279
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=29A044414
- Numbers n such that string 3,1 occurs in the base 9 representation of n but not of n+1.at n=38A044660
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=29A044795
- Composite numbers whose 3 prime factors are distinct in length.at n=7A046443
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=24A063326