8,920,521

3² × 103 × 9623

Starting at 8,920,521, the Collatz iteration reaches 1 after 168 steps. The first transition is 26761564; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 103 × 9623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,011,648

Proper Divisor Sum 4,091,127

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8920517 ← → #8920531

Radix Representation

Decimal	8920521
Binary	100010000001110111001001 (24 bits)
Octal	0o42016711
Hexadecimal	0x881DC9

Divisor Catalog (12)

1 3 9 103 309 927 9,623 28,869 86,607 991,169 2,973,507 8,920,521

Collatz Trajectory (168 steps to reach 1)

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

8,920,521 26,761,564 13,380,782 6,690,391 20,071,174 10,035,587 30,106,762 15,053,381 45,160,144 22,580,072 11,290,036 5,645,018 2,822,509 8,467,528 4,233,764 2,116,882 1,058,441 3,175,324 1,587,662 793,831 2,381,494 1,190,747 3,572,242 1,786,121 5,358,364 2,679,182 1,339,591 4,018,774 2,009,387 6,028,162 3,014,081 9,042,244 4,521,122 2,260,561 6,781,684 3,390,842 1,695,421 5,086,264 2,543,132 1,271,566 635,783 1,907,350 953,675 2,861,026 1,430,513 4,291,540 2,145,770 1,072,885 3,218,656 1,609,328 804,664 402,332 201,166 100,583 301,750 150,875 452,626 226,313 678,940 339,470

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