8,193,583

1307 × 6269

Starting at 8,193,583, the Collatz iteration reaches 1 after 230 steps. The first transition is 24580750; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1307 × 6269

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,201,160

Proper Divisor Sum 7,577

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8193571 ← → #8193587

Radix Representation

Decimal	8193583
Binary	11111010000011000101111 (23 bits)
Octal	0o37203057
Hexadecimal	0x7D062F

Divisor Catalog (4)

1 1,307 6,269 8,193,583

Collatz Trajectory (230 steps to reach 1)

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

8,193,583 24,580,750 12,290,375 36,871,126 18,435,563 55,306,690 27,653,345 82,960,036 41,480,018 20,740,009 62,220,028 31,110,014 15,555,007 46,665,022 23,332,511 69,997,534 34,998,767 104,996,302 52,498,151 157,494,454 78,747,227 236,241,682 118,120,841 354,362,524 177,181,262 88,590,631 265,771,894 132,885,947 398,657,842 199,328,921 597,986,764 298,993,382 149,496,691 448,490,074 224,245,037 672,735,112 336,367,556 168,183,778 84,091,889 252,275,668 126,137,834 63,068,917 189,206,752 94,603,376 47,301,688 23,650,844 11,825,422 5,912,711 17,738,134 8,869,067 26,607,202 13,303,601 39,910,804 19,955,402 9,977,701 29,933,104 14,966,552 7,483,276 3,741,638 1,870,819

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