1,596,729

3 × 23 × 73 × 317

1,596,729 factors as 3 × 23 × 73 × 317. Its 16 positive divisors give a proper-divisor sum of 662,343, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 23 × 73 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,259,072

Proper Divisor Sum 662,343

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1596713 ← → #1596737

Radix Representation

Decimal	1596729
Binary	110000101110100111001 (21 bits)
Octal	0o6056471
Hexadecimal	0x185D39

Divisor Catalog (16)

1 3 23 69 73 219 317 951 1,679 5,037 7,291 21,873 23,141 69,423 532,243 1,596,729

Collatz Trajectory (230 steps to reach 1)

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

1,596,729 4,790,188 2,395,094 1,197,547 3,592,642 1,796,321 5,388,964 2,694,482 1,347,241 4,041,724 2,020,862 1,010,431 3,031,294 1,515,647 4,546,942 2,273,471 6,820,414 3,410,207 10,230,622 5,115,311 15,345,934 7,672,967 23,018,902 11,509,451 34,528,354 17,264,177 51,792,532 25,896,266 12,948,133 38,844,400 19,422,200 9,711,100 4,855,550 2,427,775 7,283,326 3,641,663 10,924,990 5,462,495 16,387,486 8,193,743 24,581,230 12,290,615 36,871,846 18,435,923 55,307,770 27,653,885 82,961,656 41,480,828 20,740,414 10,370,207 31,110,622 15,555,311 46,665,934 23,332,967 69,998,902 34,999,451 104,998,354 52,499,177 157,497,532 78,748,766

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