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Atlas › Integer Profiles › Node 3,333,474

3,333,474

2 × 35 × 193
Abundant Even Composite

3,333,474 factors as 2 × 3^5 × 19^3. Its 48 positive divisors give a proper-divisor sum of 4,572,606, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 19^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,906,080
Proper Divisor Sum 4,572,606
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3333469 ← → #3333481

Radix Representation

Decimal 3333474
Binary 1100101101110101100010 (22 bits)
Octal 0o14556542
Hexadecimal 0x32DD62

Divisor Catalog (48)

1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 1,026 1,083 1,539 2,166 3,078 3,249 4,617 6,498 6,859 9,234 9,747 13,718 19,494 20,577 29,241 41,154 58,482 61,731 87,723 123,462 175,446 185,193 370,386 555,579 1,111,158 1,666,737 3,333,474

Collatz Trajectory (115 steps to reach 1)

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

3,333,474 1,666,737 5,000,212 2,500,106 1,250,053 3,750,160 1,875,080 937,540 468,770 234,385 703,156 351,578 175,789 527,368 263,684 131,842 65,921 197,764 98,882 49,441 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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