9,086,664

2³ × 3 × 241 × 1571

Starting at 9,086,664, the Collatz iteration reaches 1 after 88 steps. The first transition is 4543332; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 241 × 1571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,825,440

Proper Divisor Sum 13,738,776

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9086663 ← → #9086677

Radix Representation

Decimal	9086664
Binary	100010101010011011001000 (24 bits)
Octal	0o42523310
Hexadecimal	0x8AA6C8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 241 482 723 964 1,446 1,571 1,928 2,892 3,142 4,713 5,784 6,284 9,426 12,568 18,852 37,704 378,611 757,222 1,135,833 1,514,444 2,271,666 3,028,888 4,543,332 9,086,664

Collatz Trajectory (88 steps to reach 1)

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

9,086,664 4,543,332 2,271,666 1,135,833 3,407,500 1,703,750 851,875 2,555,626 1,277,813 3,833,440 1,916,720 958,360 479,180 239,590 119,795 359,386 179,693 539,080 269,540 134,770 67,385 202,156 101,078 50,539 151,618 75,809 227,428 113,714 56,857 170,572 85,286 42,643 127,930 63,965 191,896 95,948 47,974 23,987 71,962 35,981 107,944 53,972 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268

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