9,705,566

2 × 13 × 373291

Starting at 9,705,566, the Collatz iteration reaches 1 after 207 steps. The first transition is 4852783; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 373291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,678,264

Proper Divisor Sum 5,972,698

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9705541 ← → #9705601

Radix Representation

Decimal	9705566
Binary	100101000001100001011110 (24 bits)
Octal	0o45014136
Hexadecimal	0x94185E

Divisor Catalog (8)

1 2 13 26 373,291 746,582 4,852,783 9,705,566

Collatz Trajectory (207 steps to reach 1)

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

9,705,566 4,852,783 14,558,350 7,279,175 21,837,526 10,918,763 32,756,290 16,378,145 49,134,436 24,567,218 12,283,609 36,850,828 18,425,414 9,212,707 27,638,122 13,819,061 41,457,184 20,728,592 10,364,296 5,182,148 2,591,074 1,295,537 3,886,612 1,943,306 971,653 2,914,960 1,457,480 728,740 364,370 182,185 546,556 273,278 136,639 409,918 204,959 614,878 307,439 922,318 461,159 1,383,478 691,739 2,075,218 1,037,609 3,112,828 1,556,414 778,207 2,334,622 1,167,311 3,501,934 1,750,967 5,252,902 2,626,451 7,879,354 3,939,677 11,819,032 5,909,516 2,954,758 1,477,379 4,432,138 2,216,069

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