9,600,305

5 × 11 × 13 × 29 × 463

Starting at 9,600,305, the Collatz iteration reaches 1 after 163 steps. The first transition is 28800916; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 29 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,031,360

Proper Divisor Sum 4,431,055

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #9600293 ← → #9600319

Radix Representation

Decimal	9600305
Binary	100100100111110100110001 (24 bits)
Octal	0o44476461
Hexadecimal	0x927D31

Divisor Catalog (32)

1 5 11 13 29 55 65 143 145 319 377 463 715 1,595 1,885 2,315 4,147 5,093 6,019 13,427 20,735 25,465 30,095 66,209 67,135 147,697 174,551 331,045 738,485 872,755 1,920,061 9,600,305

Collatz Trajectory (163 steps to reach 1)

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

9,600,305 28,800,916 14,400,458 7,200,229 21,600,688 10,800,344 5,400,172 2,700,086 1,350,043 4,050,130 2,025,065 6,075,196 3,037,598 1,518,799 4,556,398 2,278,199 6,834,598 3,417,299 10,251,898 5,125,949 15,377,848 7,688,924 3,844,462 1,922,231 5,766,694 2,883,347 8,650,042 4,325,021 12,975,064 6,487,532 3,243,766 1,621,883 4,865,650 2,432,825 7,298,476 3,649,238 1,824,619 5,473,858 2,736,929 8,210,788 4,105,394 2,052,697 6,158,092 3,079,046 1,539,523 4,618,570 2,309,285 6,927,856 3,463,928 1,731,964 865,982 432,991 1,298,974 649,487 1,948,462 974,231 2,922,694 1,461,347 4,384,042 2,192,021

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