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Atlas › Integer Profiles › Node 14,001,042

14,001,042

2 × 3 × 11 × 307 × 691
Abundant Even Composite

14,001,042 factors as 2 × 3 × 11 × 307 × 691. Its 32 positive divisors give a proper-divisor sum of 16,690,542, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 307 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,691,584
Proper Divisor Sum 16,690,542
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #14001041 ← → #14001061

Radix Representation

Decimal 14001042
Binary 110101011010001110010010 (24 bits)
Octal 0o65321622
Hexadecimal 0xD5A392

Divisor Catalog (32)

1 2 3 6 11 22 33 66 307 614 691 921 1,382 1,842 2,073 3,377 4,146 6,754 7,601 10,131 15,202 20,262 22,803 45,606 212,137 424,274 636,411 1,272,822 2,333,507 4,667,014 7,000,521 14,001,042

Collatz Trajectory (161 steps to reach 1)

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

14,001,042 7,000,521 21,001,564 10,500,782 5,250,391 15,751,174 7,875,587 23,626,762 11,813,381 35,440,144 17,720,072 8,860,036 4,430,018 2,215,009 6,645,028 3,322,514 1,661,257 4,983,772 2,491,886 1,245,943 3,737,830 1,868,915 5,606,746 2,803,373 8,410,120 4,205,060 2,102,530 1,051,265 3,153,796 1,576,898 788,449 2,365,348 1,182,674 591,337 1,774,012 887,006 443,503 1,330,510 665,255 1,995,766 997,883 2,993,650 1,496,825 4,490,476 2,245,238 1,122,619 3,367,858 1,683,929 5,051,788 2,525,894 1,262,947 3,788,842 1,894,421 5,683,264 2,841,632 1,420,816 710,408 355,204 177,602 88,801

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