332,982

2 × 3² × 13 × 1423

Starting at 332,982, the Collatz iteration reaches 1 after 334 steps. The first transition is 166491; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 1423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 777,504

Proper Divisor Sum 444,522

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #332951 ← → #332987

Radix Representation

Decimal	332982
Binary	1010001010010110110 (19 bits)
Octal	0o1212266
Hexadecimal	0x514B6

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 1,423 2,846 4,269 8,538 12,807 18,499 25,614 36,998 55,497 110,994 166,491 332,982

Collatz Trajectory (334 steps to reach 1)

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

332,982 166,491 499,474 249,737 749,212 374,606 187,303 561,910 280,955 842,866 421,433 1,264,300 632,150 316,075 948,226 474,113 1,422,340 711,170 355,585 1,066,756 533,378 266,689 800,068 400,034 200,017 600,052 300,026 150,013 450,040 225,020 112,510 56,255 168,766 84,383 253,150 126,575 379,726 189,863 569,590 284,795 854,386 427,193 1,281,580 640,790 320,395 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751 608,254 304,127 912,382 456,191

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