8,209,333

11 × 746303

Starting at 8,209,333, the Collatz iteration reaches 1 after 191 steps. The first transition is 24628000; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 746303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,955,648

Proper Divisor Sum 746,315

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8209303 ← → #8209339

Radix Representation

Decimal	8209333
Binary	11111010100001110110101 (23 bits)
Octal	0o37241665
Hexadecimal	0x7D43B5

Divisor Catalog (4)

1 11 746,303 8,209,333

Collatz Trajectory (191 steps to reach 1)

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

8,209,333 24,628,000 12,314,000 6,157,000 3,078,500 1,539,250 769,625 2,308,876 1,154,438 577,219 1,731,658 865,829 2,597,488 1,298,744 649,372 324,686 162,343 487,030 243,515 730,546 365,273 1,095,820 547,910 273,955 821,866 410,933 1,232,800 616,400 308,200 154,100 77,050 38,525 115,576 57,788 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720 138,860 69,430 34,715 104,146 52,073

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