9,036,727

7² × 311 × 593

9,036,727 factors as 7^2 × 311 × 593. Its 12 positive divisors give a proper-divisor sum of 1,526,969, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 7^2 × 311 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,563,696

Proper Divisor Sum 1,526,969

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9036721 ← → #9036733

Radix Representation

Decimal	9036727
Binary	100010011110001110110111 (24 bits)
Octal	0o42361667
Hexadecimal	0x89E3B7

Divisor Catalog (12)

1 7 49 311 593 2,177 4,151 15,239 29,057 184,423 1,290,961 9,036,727

Collatz Trajectory (256 steps to reach 1)

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

9,036,727 27,110,182 13,555,091 40,665,274 20,332,637 60,997,912 30,498,956 15,249,478 7,624,739 22,874,218 11,437,109 34,311,328 17,155,664 8,577,832 4,288,916 2,144,458 1,072,229 3,216,688 1,608,344 804,172 402,086 201,043 603,130 301,565 904,696 452,348 226,174 113,087 339,262 169,631 508,894 254,447 763,342 381,671 1,145,014 572,507 1,717,522 858,761 2,576,284 1,288,142 644,071 1,932,214 966,107 2,898,322 1,449,161 4,347,484 2,173,742 1,086,871 3,260,614 1,630,307 4,890,922 2,445,461 7,336,384 3,668,192 1,834,096 917,048 458,524 229,262 114,631 343,894

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