9,998,583

3 × 7 × 23 × 127 × 163

Starting at 9,998,583, the Collatz iteration reaches 1 after 163 steps. The first transition is 29995750; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 127 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,121,856

Proper Divisor Sum 6,123,273

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9998581 ← → #9998587

Radix Representation

Decimal	9998583
Binary	100110001001000011110111 (24 bits)
Octal	0o46110367
Hexadecimal	0x9890F7

Divisor Catalog (32)

1 3 7 21 23 69 127 161 163 381 483 489 889 1,141 2,667 2,921 3,423 3,749 8,763 11,247 20,447 20,701 26,243 61,341 62,103 78,729 144,907 434,721 476,123 1,428,369 3,332,861 9,998,583

Collatz Trajectory (163 steps to reach 1)

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

9,998,583 29,995,750 14,997,875 44,993,626 22,496,813 67,490,440 33,745,220 16,872,610 8,436,305 25,308,916 12,654,458 6,327,229 18,981,688 9,490,844 4,745,422 2,372,711 7,118,134 3,559,067 10,677,202 5,338,601 16,015,804 8,007,902 4,003,951 12,011,854 6,005,927 18,017,782 9,008,891 27,026,674 13,513,337 40,540,012 20,270,006 10,135,003 30,405,010 15,202,505 45,607,516 22,803,758 11,401,879 34,205,638 17,102,819 51,308,458 25,654,229 76,962,688 38,481,344 19,240,672 9,620,336 4,810,168 2,405,084 1,202,542 601,271 1,803,814 901,907 2,705,722 1,352,861 4,058,584 2,029,292 1,014,646 507,323 1,521,970 760,985 2,282,956

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