λ
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Atlas › Integer Profiles › Node 1,538,430

1,538,430

2 × 3 × 5 × 19 × 2699
Abundant Even Composite

1,538,430 factors as 2 × 3 × 5 × 19 × 2699. Its 32 positive divisors give a proper-divisor sum of 2,349,570, so this integer is abundant. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 2699
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,888,000
Proper Divisor Sum 2,349,570
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1538429 ← → #1538441

Radix Representation

Decimal 1538430
Binary 101110111100101111110 (21 bits)
Octal 0o5674576
Hexadecimal 0x17797E

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 2,699 5,398 8,097 13,495 16,194 26,990 40,485 51,281 80,970 102,562 153,843 256,405 307,686 512,810 769,215 1,538,430

Collatz Trajectory (287 steps to reach 1)

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

1,538,430 769,215 2,307,646 1,153,823 3,461,470 1,730,735 5,192,206 2,596,103 7,788,310 3,894,155 11,682,466 5,841,233 17,523,700 8,761,850 4,380,925 13,142,776 6,571,388 3,285,694 1,642,847 4,928,542 2,464,271 7,392,814 3,696,407 11,089,222 5,544,611 16,633,834 8,316,917 24,950,752 12,475,376 6,237,688 3,118,844 1,559,422 779,711 2,339,134 1,169,567 3,508,702 1,754,351 5,263,054 2,631,527 7,894,582 3,947,291 11,841,874 5,920,937 17,762,812 8,881,406 4,440,703 13,322,110 6,661,055 19,983,166 9,991,583 29,974,750 14,987,375 44,962,126 22,481,063 67,443,190 33,721,595 101,164,786 50,582,393 151,747,180 75,873,590

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