4,450,080

2⁵ × 3 × 5 × 73 × 127

4,450,080 factors as 2^5 × 3 × 5 × 73 × 127. Its 96 positive divisors give a proper-divisor sum of 9,871,584, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 73 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,321,664

Proper Divisor Sum 9,871,584

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4450057 ← → #4450097

Radix Representation

Decimal	4450080
Binary	10000111110011100100000 (23 bits)
Octal	0o20763440
Hexadecimal	0x43E720

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 127 146 160 219 240 254 292 365 381 438 480 508 584 635 730 762 876 1,016 1,095 1,168 1,270 1,460 1,524 1,752 1,905 2,032 2,190 2,336 2,540 2,920 3,048 3,504 3,810 4,064 4,380 5,080 5,840 6,096

Collatz Trajectory (211 steps to reach 1)

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

4,450,080 2,225,040 1,112,520 556,260 278,130 139,065 417,196 208,598 104,299 312,898 156,449 469,348 234,674 117,337 352,012 176,006 88,003 264,010 132,005 396,016 198,008 99,004 49,502 24,751 74,254 37,127 111,382 55,691 167,074 83,537 250,612 125,306 62,653 187,960 93,980 46,990 23,495 70,486 35,243 105,730 52,865 158,596 79,298 39,649 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370

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