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Atlas › Integer Profiles › Node 1,661,682

1,661,682

2 × 3 × 11 × 17 × 1481
Abundant Even Composite

1,661,682 factors as 2 × 3 × 11 × 17 × 1481. Its 32 positive divisors give a proper-divisor sum of 2,179,662, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17 × 1481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,841,344
Proper Divisor Sum 2,179,662
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1661677 ← → #1661713

Radix Representation

Decimal 1661682
Binary 110010101101011110010 (21 bits)
Octal 0o6255362
Hexadecimal 0x195AF2

Divisor Catalog (32)

1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1,122 1,481 2,962 4,443 8,886 16,291 25,177 32,582 48,873 50,354 75,531 97,746 151,062 276,947 553,894 830,841 1,661,682

Collatz Trajectory (176 steps to reach 1)

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

1,661,682 830,841 2,492,524 1,246,262 623,131 1,869,394 934,697 2,804,092 1,402,046 701,023 2,103,070 1,051,535 3,154,606 1,577,303 4,731,910 2,365,955 7,097,866 3,548,933 10,646,800 5,323,400 2,661,700 1,330,850 665,425 1,996,276 998,138 499,069 1,497,208 748,604 374,302 187,151 561,454 280,727 842,182 421,091 1,263,274 631,637 1,894,912 947,456 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762

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