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7,790,220

22 × 32 × 5 × 113 × 383
Abundant Even Composite

7,790,220 factors as 2^2 × 3^2 × 5 × 113 × 383. Its 72 positive divisors give a proper-divisor sum of 16,111,476, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 113 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,901,696
Proper Divisor Sum 16,111,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7790219 ← → #7790243

Radix Representation

Decimal 7790220
Binary 11101101101111010001100 (23 bits)
Octal 0o35557214
Hexadecimal 0x76DE8C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 383 452 565 678 766 1,017 1,130 1,149 1,356 1,532 1,695 1,915 2,034 2,260 2,298 3,390 3,447 3,830 4,068 4,596 5,085 5,745 6,780 6,894 7,660 10,170 11,490 13,788 17,235 20,340 22,980 34,470 43,279 68,940 86,558 129,837 173,116 216,395 259,674

Collatz Trajectory (204 steps to reach 1)

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

7,790,220 3,895,110 1,947,555 5,842,666 2,921,333 8,764,000 4,382,000 2,191,000 1,095,500 547,750 273,875 821,626 410,813 1,232,440 616,220 308,110 154,055 462,166 231,083 693,250 346,625 1,039,876 519,938 259,969 779,908 389,954 194,977 584,932 292,466 146,233 438,700 219,350 109,675 329,026 164,513 493,540 246,770 123,385 370,156 185,078 92,539 277,618 138,809 416,428 208,214 104,107 312,322 156,161 468,484 234,242 117,121 351,364 175,682 87,841 263,524 131,762 65,881 197,644 98,822 49,411

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