1,580,004

2² × 3² × 43889

Starting at 1,580,004, the Collatz iteration reaches 1 after 119 steps. The first transition is 790002; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43889

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 3,993,990

Proper Divisor Sum 2,413,986

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1580003 ← → #1580023

Radix Representation

Decimal	1580004
Binary	110000001101111100100 (21 bits)
Octal	0o6015744
Hexadecimal	0x181BE4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 43,889 87,778 131,667 175,556 263,334 395,001 526,668 790,002 1,580,004

Collatz Trajectory (119 steps to reach 1)

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

1,580,004 790,002 395,001 1,185,004 592,502 296,251 888,754 444,377 1,333,132 666,566 333,283 999,850 499,925 1,499,776 749,888 374,944 187,472 93,736 46,868 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

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