λ
Harmonic Matrix

6,058,206

2 × 33 × 7 × 11 × 31 × 47
Abundant Even Composite

6,058,206 has digital root 9. The neighboring primes are 6058193 and 6058211; its proper-divisor sum differs from the starting integer by 5,578,308.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 31 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 17,694,720
Proper Divisor Sum 11,636,514
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6058193 ← → #6058211

Radix Representation

Decimal 6058206
Binary 10111000111000011011110 (23 bits)
Octal 0o27070336
Hexadecimal 0x5C70DE

Divisor Catalog (60 of 128)

1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 47 54 62 63 66 77 93 94 99 126 141 154 186 189 198 217 231 279 282 297 329 341 378 423 434 462 517 558 594 651 658 682 693 837 846 987 1,023 1,034 1,269 1,302 1,386 1,457 1,551 1,674 1,953

Collatz Trajectory (219 steps to reach 1)

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

6,058,206 3,029,103 9,087,310 4,543,655 13,630,966 6,815,483 20,446,450 10,223,225 30,669,676 15,334,838 7,667,419 23,002,258 11,501,129 34,503,388 17,251,694 8,625,847 25,877,542 12,938,771 38,816,314 19,408,157 58,224,472 29,112,236 14,556,118 7,278,059 21,834,178 10,917,089 32,751,268 16,375,634 8,187,817 24,563,452 12,281,726 6,140,863 18,422,590 9,211,295 27,633,886 13,816,943 41,450,830 20,725,415 62,176,246 31,088,123 93,264,370 46,632,185 139,896,556 69,948,278 34,974,139 104,922,418 52,461,209 157,383,628 78,691,814 39,345,907 118,037,722 59,018,861 177,056,584 88,528,292 44,264,146 22,132,073 66,396,220 33,198,110 16,599,055 49,797,166

More profiles

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