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Atlas › Integer Profiles › Node 28,242,552

28,242,552

23 × 3 × 13 × 131 × 691
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 131 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 76,728,960
Proper Divisor Sum 48,486,408
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #28242527 ← → #28242553

Radix Representation

Decimal 28242552
Binary 1101011101111001001111000 (25 bits)
Octal 0o153571170
Hexadecimal 0x1AEF278

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 262 312 393 524 691 786 1,048 1,382 1,572 1,703 2,073 2,764 3,144 3,406 4,146 5,109 5,528 6,812 8,292 8,983 10,218 13,624 16,584 17,966 20,436 26,949 35,932 40,872 53,898 71,864 90,521 107,796 181,042 215,592 271,563 362,084 543,126 724,168 1,086,252 1,176,773 2,172,504 2,353,546 3,530,319 4,707,092

Collatz Trajectory (131 steps to reach 1)

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

28,242,552 14,121,276 7,060,638 3,530,319 10,590,958 5,295,479 15,886,438 7,943,219 23,829,658 11,914,829 35,744,488 17,872,244 8,936,122 4,468,061 13,404,184 6,702,092 3,351,046 1,675,523 5,026,570 2,513,285 7,539,856 3,769,928 1,884,964 942,482 471,241 1,413,724 706,862 353,431 1,060,294 530,147 1,590,442 795,221 2,385,664 1,192,832 596,416 298,208 149,104 74,552 37,276 18,638 9,319 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152

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