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Atlas › Integer Profiles › Node 36,950,459

36,950,459

72 × 13 × 19 × 43 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^2 × 13 × 19 × 43 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,561,280
Proper Divisor Sum 13,610,821
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36950453 ← → #36950467

Radix Representation

Decimal 36950459
Binary 10001100111101000110111011 (26 bits)
Octal 0o214750673
Hexadecimal 0x233D1BB

Divisor Catalog (48)

1 7 13 19 43 49 71 91 133 247 301 497 559 637 817 923 931 1,349 1,729 2,107 3,053 3,479 3,913 5,719 6,461 9,443 10,621 12,103 17,537 21,371 27,391 39,689 40,033 45,227 58,007 66,101 74,347 122,759 149,597 277,823 406,049 520,429 754,091 859,313 1,944,761 2,842,343 5,278,637 36,950,459

Collatz Trajectory (240 steps to reach 1)

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

36,950,459 110,851,378 55,425,689 166,277,068 83,138,534 41,569,267 124,707,802 62,353,901 187,061,704 93,530,852 46,765,426 23,382,713 70,148,140 35,074,070 17,537,035 52,611,106 26,305,553 78,916,660 39,458,330 19,729,165 59,187,496 29,593,748 14,796,874 7,398,437 22,195,312 11,097,656 5,548,828 2,774,414 1,387,207 4,161,622 2,080,811 6,242,434 3,121,217 9,363,652 4,681,826 2,340,913 7,022,740 3,511,370 1,755,685 5,267,056 2,633,528 1,316,764 658,382 329,191 987,574 493,787 1,481,362 740,681 2,222,044 1,111,022 555,511 1,666,534 833,267 2,499,802 1,249,901 3,749,704 1,874,852 937,426 468,713 1,406,140

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