8,768,620

2² × 5 × 7 × 62633

Starting at 8,768,620, the Collatz iteration reaches 1 after 318 steps. The first transition is 4384310; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 62633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,045,024

Proper Divisor Sum 12,276,404

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8768609 ← → #8768621

Radix Representation

Decimal	8768620
Binary	100001011100110001101100 (24 bits)
Octal	0o41346154
Hexadecimal	0x85CC6C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 62,633 125,266 250,532 313,165 438,431 626,330 876,862 1,252,660 1,753,724 2,192,155 4,384,310 8,768,620

Collatz Trajectory (318 steps to reach 1)

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

8,768,620 4,384,310 2,192,155 6,576,466 3,288,233 9,864,700 4,932,350 2,466,175 7,398,526 3,699,263 11,097,790 5,548,895 16,646,686 8,323,343 24,970,030 12,485,015 37,455,046 18,727,523 56,182,570 28,091,285 84,273,856 42,136,928 21,068,464 10,534,232 5,267,116 2,633,558 1,316,779 3,950,338 1,975,169 5,925,508 2,962,754 1,481,377 4,444,132 2,222,066 1,111,033 3,333,100 1,666,550 833,275 2,499,826 1,249,913 3,749,740 1,874,870 937,435 2,812,306 1,406,153 4,218,460 2,109,230 1,054,615 3,163,846 1,581,923 4,745,770 2,372,885 7,118,656 3,559,328 1,779,664 889,832 444,916 222,458 111,229 333,688

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