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Atlas › Integer Profiles › Node 39,596,018

39,596,018

2 × 72 × 11 × 23 × 1597
Deficient Even Composite

39,596,018 factors as 2 × 7^2 × 11 × 23 × 1597. Its 48 positive divisors give a proper-divisor sum of 39,102,286, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 23 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,698,304
Proper Divisor Sum 39,102,286
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #39596017 ← → #39596047

Radix Representation

Decimal 39596018
Binary 10010111000010111111110010 (26 bits)
Octal 0o227027762
Hexadecimal 0x25C2FF2

Divisor Catalog (48)

1 2 7 11 14 22 23 46 49 77 98 154 161 253 322 506 539 1,078 1,127 1,597 1,771 2,254 3,194 3,542 11,179 12,397 17,567 22,358 24,794 35,134 36,731 73,462 78,253 122,969 156,506 245,938 257,117 404,041 514,234 808,082 860,783 1,721,566 1,799,819 2,828,287 3,599,638 5,656,574 19,798,009 39,596,018

Collatz Trajectory (284 steps to reach 1)

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

39,596,018 19,798,009 59,394,028 29,697,014 14,848,507 44,545,522 22,272,761 66,818,284 33,409,142 16,704,571 50,113,714 25,056,857 75,170,572 37,585,286 18,792,643 56,377,930 28,188,965 84,566,896 42,283,448 21,141,724 10,570,862 5,285,431 15,856,294 7,928,147 23,784,442 11,892,221 35,676,664 17,838,332 8,919,166 4,459,583 13,378,750 6,689,375 20,068,126 10,034,063 30,102,190 15,051,095 45,153,286 22,576,643 67,729,930 33,864,965 101,594,896 50,797,448 25,398,724 12,699,362 6,349,681 19,049,044 9,524,522 4,762,261 14,286,784 7,143,392 3,571,696 1,785,848 892,924 446,462 223,231 669,694 334,847 1,004,542 502,271 1,506,814

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