λ
Harmonic Matrix

6,055,566

2 × 3 × 112 × 19 × 439
Abundant Even Composite

6,055,566 has digital root 6. The neighboring primes are 6055541 and 6055579; its proper-divisor sum differs from the starting integer by 1,933,668.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 19 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,044,800
Proper Divisor Sum 7,989,234
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6055541 ← → #6055579

Radix Representation

Decimal 6055566
Binary 10111000110011010001110 (23 bits)
Octal 0o27063216
Hexadecimal 0x5C668E

Divisor Catalog (48)

1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 439 627 726 878 1,254 1,317 2,299 2,634 4,598 4,829 6,897 8,341 9,658 13,794 14,487 16,682 25,023 28,974 50,046 53,119 91,751 106,238 159,357 183,502 275,253 318,714 550,506 1,009,261 2,018,522 3,027,783 6,055,566

Collatz Trajectory (227 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,055,566 3,027,783 9,083,350 4,541,675 13,625,026 6,812,513 20,437,540 10,218,770 5,109,385 15,328,156 7,664,078 3,832,039 11,496,118 5,748,059 17,244,178 8,622,089 25,866,268 12,933,134 6,466,567 19,399,702 9,699,851 29,099,554 14,549,777 43,649,332 21,824,666 10,912,333 32,737,000 16,368,500 8,184,250 4,092,125 12,276,376 6,138,188 3,069,094 1,534,547 4,603,642 2,301,821 6,905,464 3,452,732 1,726,366 863,183 2,589,550 1,294,775 3,884,326 1,942,163 5,826,490 2,913,245 8,739,736 4,369,868 2,184,934 1,092,467 3,277,402 1,638,701 4,916,104 2,458,052 1,229,026 614,513 1,843,540 921,770 460,885 1,382,656

More profiles

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