4,636,080

2⁴ × 3² × 5 × 47 × 137

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 47 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 16,016,832

Proper Divisor Sum 11,380,752

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4636039 ← → #4636111

Radix Representation

Decimal	4636080
Binary	10001101011110110110000 (23 bits)
Octal	0o21536660
Hexadecimal	0x46BDB0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 137 141 144 180 188 235 240 274 282 360 376 411 423 470 548 564 685 705 720 752 822 846 940 1,096 1,128 1,233 1,370 1,410 1,644 1,692 1,880 2,055 2,115

Collatz Trajectory (100 steps to reach 1)

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

4,636,080 2,318,040 1,159,020 579,510 289,755 869,266 434,633 1,303,900 651,950 325,975 977,926 488,963 1,466,890 733,445 2,200,336 1,100,168 550,084 275,042 137,521 412,564 206,282 103,141 309,424 154,712 77,356 38,678 19,339 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817

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