7,591,803

3 × 307 × 8243

Starting at 7,591,803, the Collatz iteration reaches 1 after 248 steps. The first transition is 22775410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 307 × 8243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,156,608

Proper Divisor Sum 2,564,805

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7591799 ← → #7591819

Radix Representation

Decimal	7591803
Binary	11100111101011101111011 (23 bits)
Octal	0o34753573
Hexadecimal	0x73D77B

Divisor Catalog (8)

1 3 307 921 8,243 24,729 2,530,601 7,591,803

Collatz Trajectory (248 steps to reach 1)

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

7,591,803 22,775,410 11,387,705 34,163,116 17,081,558 8,540,779 25,622,338 12,811,169 38,433,508 19,216,754 9,608,377 28,825,132 14,412,566 7,206,283 21,618,850 10,809,425 32,428,276 16,214,138 8,107,069 24,321,208 12,160,604 6,080,302 3,040,151 9,120,454 4,560,227 13,680,682 6,840,341 20,521,024 10,260,512 5,130,256 2,565,128 1,282,564 641,282 320,641 961,924 480,962 240,481 721,444 360,722 180,361 541,084 270,542 135,271 405,814 202,907 608,722 304,361 913,084 456,542 228,271 684,814 342,407 1,027,222 513,611 1,540,834 770,417 2,311,252 1,155,626 577,813 1,733,440

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