333,671

13 × 25667

Starting at 333,671, the Collatz iteration reaches 1 after 140 steps. The first transition is 1001014; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 25667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 359,352

Proper Divisor Sum 25,681

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #333667 ← → #333673

Radix Representation

Decimal	333671
Binary	1010001011101100111 (19 bits)
Octal	0o1213547
Hexadecimal	0x51767

Divisor Catalog (4)

1 13 25,667 333,671

Collatz Trajectory (140 steps to reach 1)

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

333,671 1,001,014 500,507 1,501,522 750,761 2,252,284 1,126,142 563,071 1,689,214 844,607 2,533,822 1,266,911 3,800,734 1,900,367 5,701,102 2,850,551 8,551,654 4,275,827 12,827,482 6,413,741 19,241,224 9,620,612 4,810,306 2,405,153 7,215,460 3,607,730 1,803,865 5,411,596 2,705,798 1,352,899 4,058,698 2,029,349 6,088,048 3,044,024 1,522,012 761,006 380,503 1,141,510 570,755 1,712,266 856,133 2,568,400 1,284,200 642,100 321,050 160,525 481,576 240,788 120,394 60,197 180,592 90,296 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192

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