λ
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Atlas › Integer Profiles › Node 28,510,552

28,510,552

23 × 72 × 257 × 283
Abundant Even Composite

28,510,552 factors as 2^3 × 7^2 × 257 × 283. Its 48 positive divisors give a proper-divisor sum of 34,137,008, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 257 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,647,560
Proper Divisor Sum 34,137,008
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28510523 ← → #28510571

Radix Representation

Decimal 28510552
Binary 1101100110000100101011000 (25 bits)
Octal 0o154604530
Hexadecimal 0x1B30958

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 98 196 257 283 392 514 566 1,028 1,132 1,799 1,981 2,056 2,264 3,598 3,962 7,196 7,924 12,593 13,867 14,392 15,848 25,186 27,734 50,372 55,468 72,731 100,744 110,936 145,462 290,924 509,117 581,848 1,018,234 2,036,468 3,563,819 4,072,936 7,127,638 14,255,276 28,510,552

Collatz Trajectory (268 steps to reach 1)

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

28,510,552 14,255,276 7,127,638 3,563,819 10,691,458 5,345,729 16,037,188 8,018,594 4,009,297 12,027,892 6,013,946 3,006,973 9,020,920 4,510,460 2,255,230 1,127,615 3,382,846 1,691,423 5,074,270 2,537,135 7,611,406 3,805,703 11,417,110 5,708,555 17,125,666 8,562,833 25,688,500 12,844,250 6,422,125 19,266,376 9,633,188 4,816,594 2,408,297 7,224,892 3,612,446 1,806,223 5,418,670 2,709,335 8,128,006 4,064,003 12,192,010 6,096,005 18,288,016 9,144,008 4,572,004 2,286,002 1,143,001 3,429,004 1,714,502 857,251 2,571,754 1,285,877 3,857,632 1,928,816 964,408 482,204 241,102 120,551 361,654 180,827

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