8,801,309

11 × 800119

Starting at 8,801,309, the Collatz iteration reaches 1 after 150 steps. The first transition is 26403928; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 800119

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,601,440

Proper Divisor Sum 800,131

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8801293 ← → #8801327

Radix Representation

Decimal	8801309
Binary	100001100100110000011101 (24 bits)
Octal	0o41446035
Hexadecimal	0x864C1D

Divisor Catalog (4)

1 11 800,119 8,801,309

Collatz Trajectory (150 steps to reach 1)

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

8,801,309 26,403,928 13,201,964 6,600,982 3,300,491 9,901,474 4,950,737 14,852,212 7,426,106 3,713,053 11,139,160 5,569,580 2,784,790 1,392,395 4,177,186 2,088,593 6,265,780 3,132,890 1,566,445 4,699,336 2,349,668 1,174,834 587,417 1,762,252 881,126 440,563 1,321,690 660,845 1,982,536 991,268 495,634 247,817 743,452 371,726 185,863 557,590 278,795 836,386 418,193 1,254,580 627,290 313,645 940,936 470,468 235,234 117,617 352,852 176,426 88,213 264,640 132,320 66,160 33,080 16,540 8,270 4,135 12,406 6,203 18,610 9,305

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