4,469,040

2⁴ × 3³ × 5 × 2069

4,469,040 factors as 2^4 × 3^3 × 5 × 2069. Its 80 positive divisors give a proper-divisor sum of 10,931,760, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 2069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 15,400,800

Proper Divisor Sum 10,931,760

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4469027 ← → #4469051

Radix Representation

Decimal	4469040
Binary	10001000011000100110000 (23 bits)
Octal	0o21030460
Hexadecimal	0x443130

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1,080 2,069 2,160 4,138 6,207 8,276 10,345 12,414 16,552 18,621 20,690 24,828 31,035 33,104 37,242 41,380 49,656 55,863 62,070 74,484 82,760 93,105

Collatz Trajectory (180 steps to reach 1)

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

4,469,040 2,234,520 1,117,260 558,630 279,315 837,946 418,973 1,256,920 628,460 314,230 157,115 471,346 235,673 707,020 353,510 176,755 530,266 265,133 795,400 397,700 198,850 99,425 298,276 149,138 74,569 223,708 111,854 55,927 167,782 83,891 251,674 125,837 377,512 188,756 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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