3,164,004

2² × 3² × 179 × 491

Starting at 3,164,004, the Collatz iteration reaches 1 after 120 steps. The first transition is 1582002; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 179 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,058,960

Proper Divisor Sum 4,894,956

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3164003 ← → #3164053

Radix Representation

Decimal	3164004
Binary	1100000100011101100100 (22 bits)
Octal	0o14043544
Hexadecimal	0x304764

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 179 358 491 537 716 982 1,074 1,473 1,611 1,964 2,148 2,946 3,222 4,419 5,892 6,444 8,838 17,676 87,889 175,778 263,667 351,556 527,334 791,001 1,054,668 1,582,002 3,164,004

Collatz Trajectory (120 steps to reach 1)

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

3,164,004 1,582,002 791,001 2,373,004 1,186,502 593,251 1,779,754 889,877 2,669,632 1,334,816 667,408 333,704 166,852 83,426 41,713 125,140 62,570 31,285 93,856 46,928 23,464 11,732 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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