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Atlas › Integer Profiles › Node 3,327,366

3,327,366

2 × 3 × 7 × 227 × 349
Abundant Even Composite

3,327,366 factors as 2 × 3 × 7 × 227 × 349. Its 32 positive divisors give a proper-divisor sum of 4,333,434, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 227 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,660,800
Proper Divisor Sum 4,333,434
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3327361 ← → #3327371

Radix Representation

Decimal 3327366
Binary 1100101100010110000110 (22 bits)
Octal 0o14542606
Hexadecimal 0x32C586

Divisor Catalog (32)

1 2 3 6 7 14 21 42 227 349 454 681 698 1,047 1,362 1,589 2,094 2,443 3,178 4,767 4,886 7,329 9,534 14,658 79,223 158,446 237,669 475,338 554,561 1,109,122 1,663,683 3,327,366

Collatz Trajectory (146 steps to reach 1)

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

3,327,366 1,663,683 4,991,050 2,495,525 7,486,576 3,743,288 1,871,644 935,822 467,911 1,403,734 701,867 2,105,602 1,052,801 3,158,404 1,579,202 789,601 2,368,804 1,184,402 592,201 1,776,604 888,302 444,151 1,332,454 666,227 1,998,682 999,341 2,998,024 1,499,012 749,506 374,753 1,124,260 562,130 281,065 843,196 421,598 210,799 632,398 316,199 948,598 474,299 1,422,898 711,449 2,134,348 1,067,174 533,587 1,600,762 800,381 2,401,144 1,200,572 600,286 300,143 900,430 450,215 1,350,646 675,323 2,025,970 1,012,985 3,038,956 1,519,478 759,739

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