3,125,400

2³ × 3 × 5² × 5209

Starting at 3,125,400, the Collatz iteration reaches 1 after 76 steps. The first transition is 1562700; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 5209

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,690,600

Proper Divisor Sum 6,565,200

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3125387 ← → #3125449

Radix Representation

Decimal	3125400
Binary	1011111011000010011000 (22 bits)
Octal	0o13730230
Hexadecimal	0x2FB098

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5,209 10,418 15,627 20,836 26,045 31,254 41,672 52,090 62,508 78,135 104,180 125,016 130,225 156,270 208,360 260,450 312,540 390,675 520,900 625,080 781,350 1,041,800 1,562,700 3,125,400

Collatz Trajectory (76 steps to reach 1)

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

3,125,400 1,562,700 781,350 390,675 1,172,026 586,013 1,758,040 879,020 439,510 219,755 659,266 329,633 988,900 494,450 247,225 741,676 370,838 185,419 556,258 278,129 834,388 417,194 208,597 625,792 312,896 156,448 78,224 39,112 19,556 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92

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