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Atlas › Integer Profiles › Node 37,308,166

37,308,166

2 × 7 × 172 × 9221
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17^2 × 9221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 67,947,696
Proper Divisor Sum 30,639,530
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37308151 ← → #37308169

Radix Representation

Decimal 37308166
Binary 10001110010100011100000110 (26 bits)
Octal 0o216243406
Hexadecimal 0x2394706

Divisor Catalog (24)

1 2 7 14 17 34 119 238 289 578 2,023 4,046 9,221 18,442 64,547 129,094 156,757 313,514 1,097,299 2,194,598 2,664,869 5,329,738 18,654,083 37,308,166

Collatz Trajectory (165 steps to reach 1)

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

37,308,166 18,654,083 55,962,250 27,981,125 83,943,376 41,971,688 20,985,844 10,492,922 5,246,461 15,739,384 7,869,692 3,934,846 1,967,423 5,902,270 2,951,135 8,853,406 4,426,703 13,280,110 6,640,055 19,920,166 9,960,083 29,880,250 14,940,125 44,820,376 22,410,188 11,205,094 5,602,547 16,807,642 8,403,821 25,211,464 12,605,732 6,302,866 3,151,433 9,454,300 4,727,150 2,363,575 7,090,726 3,545,363 10,636,090 5,318,045 15,954,136 7,977,068 3,988,534 1,994,267 5,982,802 2,991,401 8,974,204 4,487,102 2,243,551 6,730,654 3,365,327 10,095,982 5,047,991 15,143,974 7,571,987 22,715,962 11,357,981 34,073,944 17,036,972 8,518,486

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