7788
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12372
- 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
- 2320
- Möbius Function
- 0
- Radical
- 3894
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 83
- 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) = n*(4*n+1).at n=44A007742
- a(n) = n*(27*n + 1)/2.at n=24A022285
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=34A026035
- Coordination sequence for lattice D*_18 (with edges defined by l_1 norm = 1).at n=3A035478
- Number of points of L1 norm 3 in cubic lattice Z^n.at n=18A035597
- Coordination sequence for 18-dimensional cubic lattice.at n=3A035713
- Numbers having four 0's in base 6.at n=11A043372
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=35A059329
- Reversion of y - y^2 - y^3 + y^4.at n=9A063020
- Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=17A066764
- Start with Pascal's triangle; a(n) is the sum of the numbers on the periphery of the n-th central rhombus containing exactly 4 numbers.at n=6A081496
- Partial sums of A084263.at n=35A084570
- Sum of first n 4-almost primes.at n=43A086046
- Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having exactly k triangles (n >= 2, k >= 0).at n=47A090985
- Numerators of "Farey fraction" approximations to Pi.at n=48A097545
- Smallest number not occurring earlier fitting the repeating pattern "11223344556677889900".at n=49A098781
- Nondecreasing sequence of integers where each digit d is part of a group of d identical digits.at n=74A113764
- "Correlation triangle" of central binomial coefficients A000984.at n=43A115255
- "Correlation triangle" of central binomial coefficients A000984.at n=37A115255
- Triangle read by rows: coefficient of x^n in the Taylor expansion of x/(1 - m*x - x^4) in row n, column m=1..n+2.at n=33A117742