3,271,212

2² × 3³ × 7 × 4327

Starting at 3,271,212, the Collatz iteration reaches 1 after 146 steps. The first transition is 1635606; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 4327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,694,720

Proper Divisor Sum 6,423,508

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3271189 ← → #3271217

Radix Representation

Decimal	3271212
Binary	1100011110101000101100 (22 bits)
Octal	0o14365054
Hexadecimal	0x31EA2C

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 4,327 8,654 12,981 17,308 25,962 30,289 38,943 51,924 60,578 77,886 90,867 116,829 121,156 155,772 181,734 233,658 272,601 363,468 467,316 545,202 817,803 1,090,404 1,635,606 3,271,212

Collatz Trajectory (146 steps to reach 1)

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

3,271,212 1,635,606 817,803 2,453,410 1,226,705 3,680,116 1,840,058 920,029 2,760,088 1,380,044 690,022 345,011 1,035,034 517,517 1,552,552 776,276 388,138 194,069 582,208 291,104 145,552 72,776 36,388 18,194 9,097 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523

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