4,342,720

2⁶ × 5 × 41 × 331

4,342,720 is even and not a perfect square. Its factorization is 2^6 × 5 × 41 × 331 and its 56 divisors sum to 10,625,328.

Prime Factor Structure

Factorization String 2^6 × 5 × 41 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 10,625,328

Proper Divisor Sum 6,282,608

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4342717 ← → #4342757

Radix Representation

Decimal	4342720
Binary	10000100100001111000000 (23 bits)
Octal	0o20441700
Hexadecimal	0x4243C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 331 410 656 662 820 1,312 1,324 1,640 1,655 2,624 2,648 3,280 3,310 5,296 6,560 6,620 10,592 13,120 13,240 13,571 21,184 26,480 27,142 52,960 54,284 67,855 105,920 108,568 135,710 217,136 271,420 434,272 542,840 868,544 1,085,680 2,171,360 4,342,720

Collatz Trajectory (105 steps to reach 1)

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

4,342,720 2,171,360 1,085,680 542,840 271,420 135,710 67,855 203,566 101,783 305,350 152,675 458,026 229,013 687,040 343,520 171,760 85,880 42,940 21,470 10,735 32,206 16,103 48,310 24,155 72,466 36,233 108,700 54,350 27,175 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766

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