3,273,120

2⁵ × 3² × 5 × 2273

Starting at 3,273,120, the Collatz iteration reaches 1 after 133 steps. The first transition is 1636560; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 2273

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,174,436

Proper Divisor Sum 7,901,316

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3273119 ← → #3273139

Radix Representation

Decimal	3273120
Binary	1100011111000110100000 (22 bits)
Octal	0o14370640
Hexadecimal	0x31F1A0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1,440 2,273 4,546 6,819 9,092 11,365 13,638 18,184 20,457 22,730 27,276 34,095 36,368 40,914 45,460 54,552 68,190 72,736 81,828 90,920 102,285 109,104 136,380 163,656 181,840

Collatz Trajectory (133 steps to reach 1)

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

3,273,120 1,636,560 818,280 409,140 204,570 102,285 306,856 153,428 76,714 38,357 115,072 57,536 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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