λ
Harmonic Matrix

6,055,218

2 × 32 × 13 × 113 × 229
Abundant Even Composite

6,055,218 has digital root 9. The neighboring primes are 6055207 and 6055219; its proper-divisor sum differs from the starting integer by 2,205,684.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 113 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,316,120
Proper Divisor Sum 8,260,902
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6055207 ← → #6055219

Radix Representation

Decimal 6055218
Binary 10111000110010100110010 (23 bits)
Octal 0o27062462
Hexadecimal 0x5C6532

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 113 117 226 229 234 339 458 678 687 1,017 1,374 1,469 2,034 2,061 2,938 2,977 4,122 4,407 5,954 8,814 8,931 13,221 17,862 25,877 26,442 26,793 51,754 53,586 77,631 155,262 232,893 336,401 465,786 672,802 1,009,203 2,018,406 3,027,609 6,055,218

Collatz Trajectory (59 steps to reach 1)

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

6,055,218 3,027,609 9,082,828 4,541,414 2,270,707 6,812,122 3,406,061 10,218,184 5,109,092 2,554,546 1,277,273 3,831,820 1,915,910 957,955 2,873,866 1,436,933 4,310,800 2,155,400 1,077,700 538,850 269,425 808,276 404,138 202,069 606,208 303,104 151,552 75,776 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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