6,655,080

2³ × 3 × 5 × 31 × 1789

Starting at 6,655,080, the Collatz iteration reaches 1 after 178 steps. The first transition is 3327540; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 31 × 1789

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,620,800

Proper Divisor Sum 13,965,720

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6655069 ← → #6655087

Radix Representation

Decimal	6655080
Binary	11001011000110001101000 (23 bits)
Octal	0o31306150
Hexadecimal	0x658C68

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1,240 1,789 1,860 3,578 3,720 5,367 7,156 8,945 10,734 14,312 17,890 21,468 26,835 35,780 42,936 53,670 55,459 71,560 107,340 110,918 166,377 214,680 221,836 277,295 332,754 443,672 554,590 665,508 831,885 1,109,180 1,331,016

Collatz Trajectory (178 steps to reach 1)

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

6,655,080 3,327,540 1,663,770 831,885 2,495,656 1,247,828 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040

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