36,957,393

3² × 11² × 33937

36,957,393 factors as 3^2 × 11^2 × 33937. Its 18 positive divisors give a proper-divisor sum of 21,721,409, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 33937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 58,678,802

Proper Divisor Sum 21,721,409

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36957391 ← → #36957443

Radix Representation

Decimal	36957393
Binary	10001100111110110011010001 (26 bits)
Octal	0o214766321
Hexadecimal	0x233ECD1

Divisor Catalog (18)

1 3 9 11 33 99 121 363 1,089 33,937 101,811 305,433 373,307 1,119,921 3,359,763 4,106,377 12,319,131 36,957,393

Collatz Trajectory (183 steps to reach 1)

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

36,957,393 110,872,180 55,436,090 27,718,045 83,154,136 41,577,068 20,788,534 10,394,267 31,182,802 15,591,401 46,774,204 23,387,102 11,693,551 35,080,654 17,540,327 52,620,982 26,310,491 78,931,474 39,465,737 118,397,212 59,198,606 29,599,303 88,797,910 44,398,955 133,196,866 66,598,433 199,795,300 99,897,650 49,948,825 149,846,476 74,923,238 37,461,619 112,384,858 56,192,429 168,577,288 84,288,644 42,144,322 21,072,161 63,216,484 31,608,242 15,804,121 47,412,364 23,706,182 11,853,091 35,559,274 17,779,637 53,338,912 26,669,456 13,334,728 6,667,364 3,333,682 1,666,841 5,000,524 2,500,262 1,250,131 3,750,394 1,875,197 5,625,592 2,812,796 1,406,398

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