7794
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16926
- Proper Divisor Sum (Aliquot Sum)
- 9132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2592
- Möbius Function
- 0
- Radical
- 2598
- Omega Function (Ω)
- 4
- 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
- 145
- 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
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=30A032767
- Numbers having four 0's in base 6.at n=12A043372
- Bisection of A055878.at n=4A055564
- Least positive sequence with Hankel transform {1,1,1,1,1,...}.at n=8A055878
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^2 where w, x, y, and z are all positive integers.at n=18A057369
- For the numbers k that can be expressed as k = w + x = y*z with w*x = y^2 + z^2 where w, x, y, and z are all positive integers, this sequence gives the corresponding values of w*x.at n=9A057444
- Rounded total surface area of a regular icosahedron with edge length n.at n=30A071398
- Number of partitions of n such that the numbers of prime and composite parts differ by at least 1.at n=41A116450
- Partial sums of partial sums of PrimePi(k).at n=48A137441
- 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), (0, 1, -1), (0, 1, 0), (1, -1, 1)}.at n=9A148401
- Sum of first n squares of semiprimes.at n=13A217736
- Number of n X n 0..3 arrays with no more than floor(n X n/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=3A222899
- Number of nX4 0..3 arrays with no more than floor(nX4/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=3A222902
- T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=24A222906
- Number of 4Xn 0..3 arrays with no more than floor(4Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=3A222909
- Position within the triangular array A226314(n)/A054531(n) of rationals x/y such that x < y, gcd(x,y)=1, x+y odd and for the least y, {x, y} are integers such that x*y(y^2-x^2)/A006991(n) is a perfect square.at n=20A242061
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.at n=38A265679
- Number of 3Xn arrays containing n copies of 0..3-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.at n=6A265680
- a(n) begins the first chain of 9 consecutive positive integers of h-values with symmetrical gaps about the center, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem.at n=32A268288
- Numbers n such that Bernoulli number B_{n} has denominator 798.at n=29A272138