6,107,283

3² × 7 × 13 × 7457

Starting at 6,107,283, the Collatz iteration reaches 1 after 196 steps. The first transition is 18321850; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 7457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,858,848

Proper Divisor Sum 4,751,565

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6107273 ← → #6107287

Radix Representation

Decimal	6107283
Binary	10111010011000010010011 (23 bits)
Octal	0o27230223
Hexadecimal	0x5D3093

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 7,457 22,371 52,199 67,113 96,941 156,597 290,823 469,791 678,587 872,469 2,035,761 6,107,283

Collatz Trajectory (196 steps to reach 1)

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

6,107,283 18,321,850 9,160,925 27,482,776 13,741,388 6,870,694 3,435,347 10,306,042 5,153,021 15,459,064 7,729,532 3,864,766 1,932,383 5,797,150 2,898,575 8,695,726 4,347,863 13,043,590 6,521,795 19,565,386 9,782,693 29,348,080 14,674,040 7,337,020 3,668,510 1,834,255 5,502,766 2,751,383 8,254,150 4,127,075 12,381,226 6,190,613 18,571,840 9,285,920 4,642,960 2,321,480 1,160,740 580,370 290,185 870,556 435,278 217,639 652,918 326,459 979,378 489,689 1,469,068 734,534 367,267 1,101,802 550,901 1,652,704 826,352 413,176 206,588 103,294 51,647 154,942 77,471 232,414

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