333,732

2² × 3 × 7 × 29 × 137

Starting at 333,732, the Collatz iteration reaches 1 after 259 steps. The first transition is 166866; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 29 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 927,360

Proper Divisor Sum 593,628

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #333721 ← → #333737

Radix Representation

Decimal	333732
Binary	1010001011110100100 (19 bits)
Octal	0o1213644
Hexadecimal	0x517A4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 137 174 203 274 348 406 411 548 609 812 822 959 1,218 1,644 1,918 2,436 2,877 3,836 3,973 5,754 7,946 11,508 11,919 15,892 23,838 27,811 47,676 55,622 83,433 111,244 166,866 333,732

Collatz Trajectory (259 steps to reach 1)

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

333,732 166,866 83,433 250,300 125,150 62,575 187,726 93,863 281,590 140,795 422,386 211,193 633,580 316,790 158,395 475,186 237,593 712,780 356,390 178,195 534,586 267,293 801,880 400,940 200,470 100,235 300,706 150,353 451,060 225,530 112,765 338,296 169,148 84,574 42,287 126,862 63,431 190,294 95,147 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701

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