4,339,980

2² × 3⁵ × 5 × 19 × 47

4,339,980 factors as 2^2 × 3^5 × 5 × 19 × 47. Its 144 positive divisors give a proper-divisor sum of 10,336,500, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,676,480

Proper Divisor Sum 10,336,500

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4339963 ← → #4340003

Radix Representation

Decimal	4339980
Binary	10000100011100100001100 (23 bits)
Octal	0o20434414
Hexadecimal	0x42390C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 47 54 57 60 76 81 90 94 95 108 114 135 141 162 171 180 188 190 228 235 243 270 282 285 324 342 380 405 423 470 486 513 540 564 570 684 705 810 846 855 893 940

Collatz Trajectory (66 steps to reach 1)

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

4,339,980 2,169,990 1,084,995 3,254,986 1,627,493 4,882,480 2,441,240 1,220,620 610,310 305,155 915,466 457,733 1,373,200 686,600 343,300 171,650 85,825 257,476 128,738 64,369 193,108 96,554 48,277 144,832 72,416 36,208 18,104 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

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