9,759,054

2 × 3 × 17 × 241 × 397

Starting at 9,759,054, the Collatz iteration reaches 1 after 207 steps. The first transition is 4879527; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 241 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,804,256

Proper Divisor Sum 11,045,202

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9759047 ← → #9759059

Radix Representation

Decimal	9759054
Binary	100101001110100101001110 (24 bits)
Octal	0o45164516
Hexadecimal	0x94E94E

Divisor Catalog (32)

1 2 3 6 17 34 51 102 241 397 482 723 794 1,191 1,446 2,382 4,097 6,749 8,194 12,291 13,498 20,247 24,582 40,494 95,677 191,354 287,031 574,062 1,626,509 3,253,018 4,879,527 9,759,054

Collatz Trajectory (207 steps to reach 1)

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

9,759,054 4,879,527 14,638,582 7,319,291 21,957,874 10,978,937 32,936,812 16,468,406 8,234,203 24,702,610 12,351,305 37,053,916 18,526,958 9,263,479 27,790,438 13,895,219 41,685,658 20,842,829 62,528,488 31,264,244 15,632,122 7,816,061 23,448,184 11,724,092 5,862,046 2,931,023 8,793,070 4,396,535 13,189,606 6,594,803 19,784,410 9,892,205 29,676,616 14,838,308 7,419,154 3,709,577 11,128,732 5,564,366 2,782,183 8,346,550 4,173,275 12,519,826 6,259,913 18,779,740 9,389,870 4,694,935 14,084,806 7,042,403 21,127,210 10,563,605 31,690,816 15,845,408 7,922,704 3,961,352 1,980,676 990,338 495,169 1,485,508 742,754 371,377

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