7048
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13230
- Proper Divisor Sum (Aliquot Sum)
- 6182
- 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
- 3520
- Möbius Function
- 0
- Radical
- 1762
- Omega Function (Ω)
- 4
- 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
- 119
- 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
- Expansion of e.g.f. tan(x)/cos(log(1+x)).at n=7A009754
- a(n)=a(n-1)+a(n-4).at n=27A014098
- Increasing gaps among twin primes: size.at n=38A036063
- Base-9 palindromes that start with 1.at n=26A043028
- A Pellian-related sequence.at n=5A054477
- Numbers n > 13 such that x^n + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=32A057489
- 9th binomial transform of (1,0,1,0,1,...), A059841.at n=4A060531
- Difference between average of smallest prime greater than n^3 and largest prime less than (n+1)^3 and n-th pronic [=n(n+1)].at n=17A063036
- A065829 converted to base 10.at n=12A065830
- Duplicate of A060531.at n=4A081191
- a(n) = 4*a(n-1) + 2*a(n-2) for n>1, a(0)=0, a(1)=1.at n=7A090017
- Real part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=16A102531
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=41A102532
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=28A115908
- Bond percolation series for hexagonal net.at n=26A120541
- Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2.at n=26A127485
- Numbers of the form x^4 + 6*x^2*y^2 + y^4 (where x,y are positive integers).at n=24A135797
- Indices where A138554 requires only squares < floor(sqrt(n))^2.at n=31A138555
- Number of monomials in discriminant of polynomial x^n + a_{n-2} x^{n-2} + ... + a_0.at n=8A138800
- 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, -1)}.at n=9A148446