8,335,201

7 × 1190743

Starting at 8,335,201, the Collatz iteration reaches 1 after 111 steps. The first transition is 25005604; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1190743

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,525,952

Proper Divisor Sum 1,190,751

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8335189 ← → #8335237

Radix Representation

Decimal	8335201
Binary	11111110010111101100001 (23 bits)
Octal	0o37627541
Hexadecimal	0x7F2F61

Divisor Catalog (4)

1 7 1,190,743 8,335,201

Collatz Trajectory (111 steps to reach 1)

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

8,335,201 25,005,604 12,502,802 6,251,401 18,754,204 9,377,102 4,688,551 14,065,654 7,032,827 21,098,482 10,549,241 31,647,724 15,823,862 7,911,931 23,735,794 11,867,897 35,603,692 17,801,846 8,900,923 26,702,770 13,351,385 40,054,156 20,027,078 10,013,539 30,040,618 15,020,309 45,060,928 22,530,464 11,265,232 5,632,616 2,816,308 1,408,154 704,077 2,112,232 1,056,116 528,058 264,029 792,088 396,044 198,022 99,011 297,034 148,517 445,552 222,776 111,388 55,694 27,847 83,542 41,771 125,314 62,657 187,972 93,986 46,993 140,980 70,490 35,245 105,736 52,868

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