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Atlas › Integer Profiles › Node 6,325,209

6,325,209

34 × 11 × 31 × 229
Deficient Odd Composite

6,325,209 factors as 3^4 × 11 × 31 × 229. Its 40 positive divisors give a proper-divisor sum of 4,361,511, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 3^4 × 11 × 31 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,686,720
Proper Divisor Sum 4,361,511
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6325201 ← → #6325217

Radix Representation

Decimal 6325209
Binary 11000001000001111011001 (23 bits)
Octal 0o30101731
Hexadecimal 0x6083D9

Divisor Catalog (40)

1 3 9 11 27 31 33 81 93 99 229 279 297 341 687 837 891 1,023 2,061 2,511 2,519 3,069 6,183 7,099 7,557 9,207 18,549 21,297 22,671 27,621 63,891 68,013 78,089 191,673 204,039 234,267 575,019 702,801 2,108,403 6,325,209

Collatz Trajectory (152 steps to reach 1)

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

6,325,209 18,975,628 9,487,814 4,743,907 14,231,722 7,115,861 21,347,584 10,673,792 5,336,896 2,668,448 1,334,224 667,112 333,556 166,778 83,389 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694

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