6,927,030

2 × 3² × 5 × 11 × 6997

Starting at 6,927,030, the Collatz iteration reaches 1 after 160 steps. The first transition is 3463515; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 6997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,650,384

Proper Divisor Sum 12,723,354

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6927023 ← → #6927079

Radix Representation

Decimal	6927030
Binary	11010011011001010110110 (23 bits)
Octal	0o32331266
Hexadecimal	0x69B2B6

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 6,997 13,994 20,991 34,985 41,982 62,973 69,970 76,967 104,955 125,946 153,934 209,910 230,901 314,865 384,835 461,802 629,730 692,703 769,670 1,154,505 1,385,406 2,309,010 3,463,515 6,927,030

Collatz Trajectory (160 steps to reach 1)

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

6,927,030 3,463,515 10,390,546 5,195,273 15,585,820 7,792,910 3,896,455 11,689,366 5,844,683 17,534,050 8,767,025 26,301,076 13,150,538 6,575,269 19,725,808 9,862,904 4,931,452 2,465,726 1,232,863 3,698,590 1,849,295 5,547,886 2,773,943 8,321,830 4,160,915 12,482,746 6,241,373 18,724,120 9,362,060 4,681,030 2,340,515 7,021,546 3,510,773 10,532,320 5,266,160 2,633,080 1,316,540 658,270 329,135 987,406 493,703 1,481,110 740,555 2,221,666 1,110,833 3,332,500 1,666,250 833,125 2,499,376 1,249,688 624,844 312,422 156,211 468,634 234,317 702,952 351,476 175,738 87,869 263,608

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