3,593,317

7² × 13 × 5641

3,593,317 factors as 7^2 × 13 × 5641. Its 12 positive divisors give a proper-divisor sum of 908,999, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 5641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,502,316

Proper Divisor Sum 908,999

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3593311 ← → #3593321

Radix Representation

Decimal	3593317
Binary	1101101101010001100101 (22 bits)
Octal	0o15552145
Hexadecimal	0x36D465

Divisor Catalog (12)

1 7 13 49 91 637 5,641 39,487 73,333 276,409 513,331 3,593,317

Collatz Trajectory (128 steps to reach 1)

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

3,593,317 10,779,952 5,389,976 2,694,988 1,347,494 673,747 2,021,242 1,010,621 3,031,864 1,515,932 757,966 378,983 1,136,950 568,475 1,705,426 852,713 2,558,140 1,279,070 639,535 1,918,606 959,303 2,877,910 1,438,955 4,316,866 2,158,433 6,475,300 3,237,650 1,618,825 4,856,476 2,428,238 1,214,119 3,642,358 1,821,179 5,463,538 2,731,769 8,195,308 4,097,654 2,048,827 6,146,482 3,073,241 9,219,724 4,609,862 2,304,931 6,914,794 3,457,397 10,372,192 5,186,096 2,593,048 1,296,524 648,262 324,131 972,394 486,197 1,458,592 729,296 364,648 182,324 91,162 45,581 136,744

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