3,333,378

2 × 3 × 211 × 2633

3,333,378 factors as 2 × 3 × 211 × 2633. Its 16 positive divisors give a proper-divisor sum of 3,367,518, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3 × 211 × 2633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,700,896

Proper Divisor Sum 3,367,518

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3333373 ← → #3333383

Radix Representation

Decimal	3333378
Binary	1100101101110100000010 (22 bits)
Octal	0o14556402
Hexadecimal	0x32DD02

Divisor Catalog (16)

1 2 3 6 211 422 633 1,266 2,633 5,266 7,899 15,798 555,563 1,111,126 1,666,689 3,333,378

Collatz Trajectory (177 steps to reach 1)

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

3,333,378 1,666,689 5,000,068 2,500,034 1,250,017 3,750,052 1,875,026 937,513 2,812,540 1,406,270 703,135 2,109,406 1,054,703 3,164,110 1,582,055 4,746,166 2,373,083 7,119,250 3,559,625 10,678,876 5,339,438 2,669,719 8,009,158 4,004,579 12,013,738 6,006,869 18,020,608 9,010,304 4,505,152 2,252,576 1,126,288 563,144 281,572 140,786 70,393 211,180 105,590 52,795 158,386 79,193 237,580 118,790 59,395 178,186 89,093 267,280 133,640 66,820 33,410 16,705 50,116 25,058 12,529 37,588 18,794 9,397 28,192 14,096 7,048 3,524

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