6,720,340

2² × 5 × 11² × 2777

Starting at 6,720,340, the Collatz iteration reaches 1 after 85 steps. The first transition is 3360170; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 2777

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,517,908

Proper Divisor Sum 8,797,568

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6720331 ← → #6720353

Radix Representation

Decimal	6720340
Binary	11001101000101101010100 (23 bits)
Octal	0o31505524
Hexadecimal	0x668B54

Divisor Catalog (36)

1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1,210 2,420 2,777 5,554 11,108 13,885 27,770 30,547 55,540 61,094 122,188 152,735 305,470 336,017 610,940 672,034 1,344,068 1,680,085 3,360,170 6,720,340

Collatz Trajectory (85 steps to reach 1)

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

6,720,340 3,360,170 1,680,085 5,040,256 2,520,128 1,260,064 630,032 315,016 157,508 78,754 39,377 118,132 59,066 29,533 88,600 44,300 22,150 11,075 33,226 16,613 49,840 24,920 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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