4,784,382

2 × 3² × 131 × 2029

4,784,382 factors as 2 × 3^2 × 131 × 2029. Its 24 positive divisors give a proper-divisor sum of 5,666,058, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 2029

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,450,440

Proper Divisor Sum 5,666,058

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4784341 ← → #4784401

Radix Representation

Decimal	4784382
Binary	10010010000000011111110 (23 bits)
Octal	0o22200376
Hexadecimal	0x4900FE

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 786 1,179 2,029 2,358 4,058 6,087 12,174 18,261 36,522 265,799 531,598 797,397 1,594,794 2,392,191 4,784,382

Collatz Trajectory (193 steps to reach 1)

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

4,784,382 2,392,191 7,176,574 3,588,287 10,764,862 5,382,431 16,147,294 8,073,647 24,220,942 12,110,471 36,331,414 18,165,707 54,497,122 27,248,561 81,745,684 40,872,842 20,436,421 61,309,264 30,654,632 15,327,316 7,663,658 3,831,829 11,495,488 5,747,744 2,873,872 1,436,936 718,468 359,234 179,617 538,852 269,426 134,713 404,140 202,070 101,035 303,106 151,553 454,660 227,330 113,665 340,996 170,498 85,249 255,748 127,874 63,937 191,812 95,906 47,953 143,860 71,930 35,965 107,896 53,948 26,974 13,487 40,462 20,231 60,694 30,347

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