9,641,765

5 × 7 × 41 × 6719

Starting at 9,641,765, the Collatz iteration reaches 1 after 93 steps. The first transition is 28925296; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 6719

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,547,520

Proper Divisor Sum 3,905,755

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9641747 ← → #9641777

Radix Representation

Decimal	9641765
Binary	100100110001111100100101 (24 bits)
Octal	0o44617445
Hexadecimal	0x931F25

Divisor Catalog (16)

1 5 7 35 41 205 287 1,435 6,719 33,595 47,033 235,165 275,479 1,377,395 1,928,353 9,641,765

Collatz Trajectory (93 steps to reach 1)

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

9,641,765 28,925,296 14,462,648 7,231,324 3,615,662 1,807,831 5,423,494 2,711,747 8,135,242 4,067,621 12,202,864 6,101,432 3,050,716 1,525,358 762,679 2,288,038 1,144,019 3,432,058 1,716,029 5,148,088 2,574,044 1,287,022 643,511 1,930,534 965,267 2,895,802 1,447,901 4,343,704 2,171,852 1,085,926 542,963 1,628,890 814,445 2,443,336 1,221,668 610,834 305,417 916,252 458,126 229,063 687,190 343,595 1,030,786 515,393 1,546,180 773,090 386,545 1,159,636 579,818 289,909 869,728 434,864 217,432 108,716 54,358 27,179 81,538 40,769 122,308 61,154

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