333,340

2² × 5 × 7 × 2381

Starting at 333,340, the Collatz iteration reaches 1 after 109 steps. The first transition is 166670; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 800,352

Proper Divisor Sum 467,012

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #333337 ← → #333341

Radix Representation

Decimal	333340
Binary	1010001011000011100 (19 bits)
Octal	0o1213034
Hexadecimal	0x5161C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 2,381 4,762 9,524 11,905 16,667 23,810 33,334 47,620 66,668 83,335 166,670 333,340

Collatz Trajectory (109 steps to reach 1)

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

333,340 166,670 83,335 250,006 125,003 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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