3,362,010

2 × 3 × 5 × 112067

3,362,010 factors as 2 × 3 × 5 × 112067. Its 16 positive divisors give a proper-divisor sum of 4,706,886, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 112067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,068,896

Proper Divisor Sum 4,706,886

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3361991 ← → #3362017

Radix Representation

Decimal	3362010
Binary	1100110100110011011010 (22 bits)
Octal	0o14646332
Hexadecimal	0x334CDA

Divisor Catalog (16)

1 2 3 5 6 10 15 30 112,067 224,134 336,201 560,335 672,402 1,120,670 1,681,005 3,362,010

Collatz Trajectory (177 steps to reach 1)

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

3,362,010 1,681,005 5,043,016 2,521,508 1,260,754 630,377 1,891,132 945,566 472,783 1,418,350 709,175 2,127,526 1,063,763 3,191,290 1,595,645 4,786,936 2,393,468 1,196,734 598,367 1,795,102 897,551 2,692,654 1,346,327 4,038,982 2,019,491 6,058,474 3,029,237 9,087,712 4,543,856 2,271,928 1,135,964 567,982 283,991 851,974 425,987 1,277,962 638,981 1,916,944 958,472 479,236 239,618 119,809 359,428 179,714 89,857 269,572 134,786 67,393 202,180 101,090 50,545 151,636 75,818 37,909 113,728 56,864 28,432 14,216 7,108 3,554

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