844,910

2 × 5 × 11 × 7681

Starting at 844,910, the Collatz iteration reaches 1 after 144 steps. The first transition is 422455; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 7681

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,659,312

Proper Divisor Sum 814,402

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #844903 ← → #844913

Radix Representation

Decimal	844910
Binary	11001110010001101110 (20 bits)
Octal	0o3162156
Hexadecimal	0xCE46E

Divisor Catalog (16)

1 2 5 10 11 22 55 110 7,681 15,362 38,405 76,810 84,491 168,982 422,455 844,910

Collatz Trajectory (144 steps to reach 1)

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

844,910 422,455 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641 1,141,924 570,962 285,481 856,444 428,222 214,111 642,334 321,167 963,502 481,751 1,445,254 722,627 2,167,882 1,083,941 3,251,824 1,625,912 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516

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