4,588,620

2² × 3 × 5 × 31 × 2467

Starting at 4,588,620, the Collatz iteration reaches 1 after 105 steps. The first transition is 2294310; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 31 × 2467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,267,968

Proper Divisor Sum 8,679,348

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4588609 ← → #4588621

Radix Representation

Decimal	4588620
Binary	10001100000010001001100 (23 bits)
Octal	0o21402114
Hexadecimal	0x46044C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1,860 2,467 4,934 7,401 9,868 12,335 14,802 24,670 29,604 37,005 49,340 74,010 76,477 148,020 152,954 229,431 305,908 382,385 458,862 764,770 917,724 1,147,155 1,529,540 2,294,310 4,588,620

Collatz Trajectory (105 steps to reach 1)

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

4,588,620 2,294,310 1,147,155 3,441,466 1,720,733 5,162,200 2,581,100 1,290,550 645,275 1,935,826 967,913 2,903,740 1,451,870 725,935 2,177,806 1,088,903 3,266,710 1,633,355 4,900,066 2,450,033 7,350,100 3,675,050 1,837,525 5,512,576 2,756,288 1,378,144 689,072 344,536 172,268 86,134 43,067 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809

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