6,603,420

2² × 3 × 5 × 157 × 701

Starting at 6,603,420, the Collatz iteration reaches 1 after 196 steps. The first transition is 3301710; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 157 × 701

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,633,888

Proper Divisor Sum 12,030,468

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6603413 ← → #6603437

Radix Representation

Decimal	6603420
Binary	11001001100001010011100 (23 bits)
Octal	0o31141234
Hexadecimal	0x64C29C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 701 785 942 1,402 1,570 1,884 2,103 2,355 2,804 3,140 3,505 4,206 4,710 7,010 8,412 9,420 10,515 14,020 21,030 42,060 110,057 220,114 330,171 440,228 550,285 660,342 1,100,570 1,320,684 1,650,855 2,201,140 3,301,710 6,603,420

Collatz Trajectory (196 steps to reach 1)

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

6,603,420 3,301,710 1,650,855 4,952,566 2,476,283 7,428,850 3,714,425 11,143,276 5,571,638 2,785,819 8,357,458 4,178,729 12,536,188 6,268,094 3,134,047 9,402,142 4,701,071 14,103,214 7,051,607 21,154,822 10,577,411 31,732,234 15,866,117 47,598,352 23,799,176 11,899,588 5,949,794 2,974,897 8,924,692 4,462,346 2,231,173 6,693,520 3,346,760 1,673,380 836,690 418,345 1,255,036 627,518 313,759 941,278 470,639 1,411,918 705,959 2,117,878 1,058,939 3,176,818 1,588,409 4,765,228 2,382,614 1,191,307 3,573,922 1,786,961 5,360,884 2,680,442 1,340,221 4,020,664 2,010,332 1,005,166 502,583 1,507,750

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