441,980

2² × 5 × 7² × 11 × 41

For 441,980, the 72 positive divisors have a total of 1,206,576. Removing 441,980 leaves 764,596, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 11 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,206,576

Proper Divisor Sum 764,596

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #441971 ← → #442003

Radix Representation

Decimal	441980
Binary	1101011111001111100 (19 bits)
Octal	0o1537174
Hexadecimal	0x6BE7C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 11 14 20 22 28 35 41 44 49 55 70 77 82 98 110 140 154 164 196 205 220 245 287 308 385 410 451 490 539 574 770 820 902 980 1,078 1,148 1,435 1,540 1,804 2,009 2,156 2,255 2,695 2,870 3,157 4,018 4,510 5,390 5,740 6,314 8,036 9,020 10,045 10,780

Collatz Trajectory (169 steps to reach 1)

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

441,980 220,990 110,495 331,486 165,743 497,230 248,615 745,846 372,923 1,118,770 559,385 1,678,156 839,078 419,539 1,258,618 629,309 1,887,928 943,964 471,982 235,991 707,974 353,987 1,061,962 530,981 1,592,944 796,472 398,236 199,118 99,559 298,678 149,339 448,018 224,009 672,028 336,014 168,007 504,022 252,011 756,034 378,017 1,134,052 567,026 283,513 850,540 425,270 212,635 637,906 318,953 956,860 478,430 239,215 717,646 358,823 1,076,470 538,235 1,614,706 807,353 2,422,060 1,211,030 605,515

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