4,231,580

2² × 5 × 173 × 1223

Starting at 4,231,580, the Collatz iteration reaches 1 after 180 steps. The first transition is 2115790; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 173 × 1223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,944,992

Proper Divisor Sum 4,713,412

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4231567 ← → #4231603

Radix Representation

Decimal	4231580
Binary	10000001001000110011100 (23 bits)
Octal	0o20110634
Hexadecimal	0x40919C

Divisor Catalog (24)

1 2 4 5 10 20 173 346 692 865 1,223 1,730 2,446 3,460 4,892 6,115 12,230 24,460 211,579 423,158 846,316 1,057,895 2,115,790 4,231,580

Collatz Trajectory (180 steps to reach 1)

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

4,231,580 2,115,790 1,057,895 3,173,686 1,586,843 4,760,530 2,380,265 7,140,796 3,570,398 1,785,199 5,355,598 2,677,799 8,033,398 4,016,699 12,050,098 6,025,049 18,075,148 9,037,574 4,518,787 13,556,362 6,778,181 20,334,544 10,167,272 5,083,636 2,541,818 1,270,909 3,812,728 1,906,364 953,182 476,591 1,429,774 714,887 2,144,662 1,072,331 3,216,994 1,608,497 4,825,492 2,412,746 1,206,373 3,619,120 1,809,560 904,780 452,390 226,195 678,586 339,293 1,017,880 508,940 254,470 127,235 381,706 190,853 572,560 286,280 143,140 71,570 35,785 107,356 53,678 26,839

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