8,661,585

3 × 5 × 17 × 33967

Starting at 8,661,585, the Collatz iteration reaches 1 after 75 steps. The first transition is 25984756; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 33967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,674,176

Proper Divisor Sum 6,012,591

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8661581 ← → #8661623

Radix Representation

Decimal	8661585
Binary	100001000010101001010001 (24 bits)
Octal	0o41025121
Hexadecimal	0x842A51

Divisor Catalog (16)

1 3 5 15 17 51 85 255 33,967 101,901 169,835 509,505 577,439 1,732,317 2,887,195 8,661,585

Collatz Trajectory (75 steps to reach 1)

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

8,661,585 25,984,756 12,992,378 6,496,189 19,488,568 9,744,284 4,872,142 2,436,071 7,308,214 3,654,107 10,962,322 5,481,161 16,443,484 8,221,742 4,110,871 12,332,614 6,166,307 18,498,922 9,249,461 27,748,384 13,874,192 6,937,096 3,468,548 1,734,274 867,137 2,601,412 1,300,706 650,353 1,951,060 975,530 487,765 1,463,296 731,648 365,824 182,912 91,456 45,728 22,864 11,432 5,716 2,858 1,429 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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