4,061,200

2⁴ × 5² × 11 × 13 × 71

For 4,061,200, the 120 positive divisors have a total of 11,624,256. Removing 4,061,200 leaves 7,563,056, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 13 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,624,256

Proper Divisor Sum 7,563,056

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4061191 ← → #4061203

Radix Representation

Decimal	4061200
Binary	1111011111100000010000 (22 bits)
Octal	0o17374020
Hexadecimal	0x3DF810

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 71 80 88 100 104 110 130 142 143 176 200 208 220 260 275 284 286 325 355 400 440 520 550 568 572 650 710 715 781 880 923 1,040 1,100 1,136 1,144 1,300 1,420 1,430 1,562 1,775 1,846

Collatz Trajectory (84 steps to reach 1)

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

4,061,200 2,030,600 1,015,300 507,650 253,825 761,476 380,738 190,369 571,108 285,554 142,777 428,332 214,166 107,083 321,250 160,625 481,876 240,938 120,469 361,408 180,704 90,352 45,176 22,588 11,294 5,647 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 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

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