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Atlas › Integer Profiles › Node 30,006,784

30,006,784

29 × 103 × 569
Abundant Even Composite

30,006,784 factors as 2^9 × 103 × 569. Its 40 positive divisors give a proper-divisor sum of 30,636,656, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^9 × 103 × 569
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 60,643,440
Proper Divisor Sum 30,636,656
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #30006763 ← → #30006827

Radix Representation

Decimal 30006784
Binary 1110010011101111000000000 (25 bits)
Octal 0o162357000
Hexadecimal 0x1C9DE00

Divisor Catalog (40)

1 2 4 8 16 32 64 103 128 206 256 412 512 569 824 1,138 1,648 2,276 3,296 4,552 6,592 9,104 13,184 18,208 26,368 36,416 52,736 58,607 72,832 117,214 145,664 234,428 291,328 468,856 937,712 1,875,424 3,750,848 7,501,696 15,003,392 30,006,784

Collatz Trajectory (175 steps to reach 1)

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

30,006,784 15,003,392 7,501,696 3,750,848 1,875,424 937,712 468,856 234,428 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641 1,141,924

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