9,725,820

2² × 3 × 5 × 13 × 37 × 337

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 37 × 337

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 30,209,088

Proper Divisor Sum 20,483,268

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9725809 ← → #9725827

Radix Representation

Decimal	9725820
Binary	100101000110011101111100 (24 bits)
Octal	0o45063574
Hexadecimal	0x94677C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 337 370 390 444 481 555 674 740 780 962 1,011 1,110 1,348 1,443 1,685 1,924 2,022 2,220 2,405 2,886 3,370 4,044 4,381 4,810 5,055 5,772 6,740 7,215 8,762 9,620 10,110 12,469

Collatz Trajectory (225 steps to reach 1)

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

9,725,820 4,862,910 2,431,455 7,294,366 3,647,183 10,941,550 5,470,775 16,412,326 8,206,163 24,618,490 12,309,245 36,927,736 18,463,868 9,231,934 4,615,967 13,847,902 6,923,951 20,771,854 10,385,927 31,157,782 15,578,891 46,736,674 23,368,337 70,105,012 35,052,506 17,526,253 52,578,760 26,289,380 13,144,690 6,572,345 19,717,036 9,858,518 4,929,259 14,787,778 7,393,889 22,181,668 11,090,834 5,545,417 16,636,252 8,318,126 4,159,063 12,477,190 6,238,595 18,715,786 9,357,893 28,073,680 14,036,840 7,018,420 3,509,210 1,754,605 5,263,816 2,631,908 1,315,954 657,977 1,973,932 986,966 493,483 1,480,450 740,225 2,220,676

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