6,086,328

2³ × 3 × 367 × 691

Starting at 6,086,328, the Collatz iteration reaches 1 after 170 steps. The first transition is 3043164; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 367 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,279,360

Proper Divisor Sum 9,193,032

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6086321 ← → #6086351

Radix Representation

Decimal	6086328
Binary	10111001101111010111000 (23 bits)
Octal	0o27157270
Hexadecimal	0x5CDEB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 367 691 734 1,101 1,382 1,468 2,073 2,202 2,764 2,936 4,146 4,404 5,528 8,292 8,808 16,584 253,597 507,194 760,791 1,014,388 1,521,582 2,028,776 3,043,164 6,086,328

Collatz Trajectory (170 steps to reach 1)

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

6,086,328 3,043,164 1,521,582 760,791 2,282,374 1,141,187 3,423,562 1,711,781 5,135,344 2,567,672 1,283,836 641,918 320,959 962,878 481,439 1,444,318 722,159 2,166,478 1,083,239 3,249,718 1,624,859 4,874,578 2,437,289 7,311,868 3,655,934 1,827,967 5,483,902 2,741,951 8,225,854 4,112,927 12,338,782 6,169,391 18,508,174 9,254,087 27,762,262 13,881,131 41,643,394 20,821,697 62,465,092 31,232,546 15,616,273 46,848,820 23,424,410 11,712,205 35,136,616 17,568,308 8,784,154 4,392,077 13,176,232 6,588,116 3,294,058 1,647,029 4,941,088 2,470,544 1,235,272 617,636 308,818 154,409 463,228 231,614

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