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Atlas › Integer Profiles › Node 3,287,020

3,287,020

22 × 5 × 11 × 67 × 223
Abundant Even Composite

3,287,020 factors as 2^2 × 5 × 11 × 67 × 223. Its 48 positive divisors give a proper-divisor sum of 4,389,908, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 67 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,676,928
Proper Divisor Sum 4,389,908
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3287017 ← → #3287027

Radix Representation

Decimal 3287020
Binary 1100100010011111101100 (22 bits)
Octal 0o14423754
Hexadecimal 0x3227EC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 67 110 134 220 223 268 335 446 670 737 892 1,115 1,340 1,474 2,230 2,453 2,948 3,685 4,460 4,906 7,370 9,812 12,265 14,740 14,941 24,530 29,882 49,060 59,764 74,705 149,410 164,351 298,820 328,702 657,404 821,755 1,643,510 3,287,020

Collatz Trajectory (89 steps to reach 1)

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

3,287,020 1,643,510 821,755 2,465,266 1,232,633 3,697,900 1,848,950 924,475 2,773,426 1,386,713 4,160,140 2,080,070 1,040,035 3,120,106 1,560,053 4,680,160 2,340,080 1,170,040 585,020 292,510 146,255 438,766 219,383 658,150 329,075 987,226 493,613 1,480,840 740,420 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476

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