3,218,664

2³ × 3 × 41 × 3271

Starting at 3,218,664, the Collatz iteration reaches 1 after 120 steps. The first transition is 1609332; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 3271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,245,440

Proper Divisor Sum 5,026,776

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3218659 ← → #3218669

Radix Representation

Decimal	3218664
Binary	1100010001110011101000 (22 bits)
Octal	0o14216350
Hexadecimal	0x311CE8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 3,271 6,542 9,813 13,084 19,626 26,168 39,252 78,504 134,111 268,222 402,333 536,444 804,666 1,072,888 1,609,332 3,218,664

Collatz Trajectory (120 steps to reach 1)

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

3,218,664 1,609,332 804,666 402,333 1,207,000 603,500 301,750 150,875 452,626 226,313 678,940 339,470 169,735 509,206 254,603 763,810 381,905 1,145,716 572,858 286,429 859,288 429,644 214,822 107,411 322,234 161,117 483,352 241,676 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404

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