8,598,409

43 × 359 × 557

Starting at 8,598,409, the Collatz iteration reaches 1 after 256 steps. The first transition is 25795228; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 43 × 359 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,838,720

Proper Divisor Sum 240,311

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8598391 ← → #8598427

Radix Representation

Decimal	8598409
Binary	100000110011001110001001 (24 bits)
Octal	0o40631611
Hexadecimal	0x833389

Divisor Catalog (8)

1 43 359 557 15,437 23,951 199,963 8,598,409

Collatz Trajectory (256 steps to reach 1)

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

8,598,409 25,795,228 12,897,614 6,448,807 19,346,422 9,673,211 29,019,634 14,509,817 43,529,452 21,764,726 10,882,363 32,647,090 16,323,545 48,970,636 24,485,318 12,242,659 36,727,978 18,363,989 55,091,968 27,545,984 13,772,992 6,886,496 3,443,248 1,721,624 860,812 430,406 215,203 645,610 322,805 968,416 484,208 242,104 121,052 60,526 30,263 90,790 45,395 136,186 68,093 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230

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