λ
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Atlas › Integer Profiles › Node 39,072,820

39,072,820

22 × 5 × 127 × 15383
Abundant Even Composite

39,072,820 factors as 2^2 × 5 × 127 × 15383. Its 24 positive divisors give a proper-divisor sum of 43,631,564, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 127 × 15383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,704,384
Proper Divisor Sum 43,631,564
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #39072799 ← → #39072827

Radix Representation

Decimal 39072820
Binary 10010101000011010000110100 (26 bits)
Octal 0o225032064
Hexadecimal 0x2543434

Divisor Catalog (24)

1 2 4 5 10 20 127 254 508 635 1,270 2,540 15,383 30,766 61,532 76,915 153,830 307,660 1,953,641 3,907,282 7,814,564 9,768,205 19,536,410 39,072,820

Collatz Trajectory (116 steps to reach 1)

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

39,072,820 19,536,410 9,768,205 29,304,616 14,652,308 7,326,154 3,663,077 10,989,232 5,494,616 2,747,308 1,373,654 686,827 2,060,482 1,030,241 3,090,724 1,545,362 772,681 2,318,044 1,159,022 579,511 1,738,534 869,267 2,607,802 1,303,901 3,911,704 1,955,852 977,926 488,963 1,466,890 733,445 2,200,336 1,100,168 550,084 275,042 137,521 412,564 206,282 103,141 309,424 154,712 77,356 38,678 19,339 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309

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