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Atlas › Integer Profiles › Node 28,291,480

28,291,480

23 × 5 × 7 × 79 × 1279
Abundant Even Composite

28,291,480 factors as 2^3 × 5 × 7 × 79 × 1279. Its 64 positive divisors give a proper-divisor sum of 45,436,520, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 79 × 1279
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 73,728,000
Proper Divisor Sum 45,436,520
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28291457 ← → #28291481

Radix Representation

Decimal 28291480
Binary 1101011111011000110011000 (25 bits)
Octal 0o153730630
Hexadecimal 0x1AFB198

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1,106 1,279 1,580 2,212 2,558 2,765 3,160 4,424 5,116 5,530 6,395 8,953 10,232 11,060 12,790 17,906 22,120 25,580 35,812 44,765 51,160 71,624 89,530 101,041 179,060 202,082 358,120 404,164 505,205 707,287 808,328 1,010,410 1,414,574 2,020,820 2,829,148 3,536,435 4,041,640

Collatz Trajectory (131 steps to reach 1)

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

28,291,480 14,145,740 7,072,870 3,536,435 10,609,306 5,304,653 15,913,960 7,956,980 3,978,490 1,989,245 5,967,736 2,983,868 1,491,934 745,967 2,237,902 1,118,951 3,356,854 1,678,427 5,035,282 2,517,641 7,552,924 3,776,462 1,888,231 5,664,694 2,832,347 8,497,042 4,248,521 12,745,564 6,372,782 3,186,391 9,559,174 4,779,587 14,338,762 7,169,381 21,508,144 10,754,072 5,377,036 2,688,518 1,344,259 4,032,778 2,016,389 6,049,168 3,024,584 1,512,292 756,146 378,073 1,134,220 567,110 283,555 850,666 425,333 1,276,000 638,000 319,000 159,500 79,750 39,875 119,626 59,813 179,440

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