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Atlas › Integer Profiles › Node 17,883,490

17,883,490

2 × 5 × 17 × 59 × 1783
Deficient Even Composite

17,883,490 factors as 2 × 5 × 17 × 59 × 1783. Its 32 positive divisors give a proper-divisor sum of 16,797,470, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 59 × 1783
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,680,960
Proper Divisor Sum 16,797,470
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17883479 ← → #17883511

Radix Representation

Decimal 17883490
Binary 1000100001110000101100010 (25 bits)
Octal 0o104160542
Hexadecimal 0x110E162

Divisor Catalog (32)

1 2 5 10 17 34 59 85 118 170 295 590 1,003 1,783 2,006 3,566 5,015 8,915 10,030 17,830 30,311 60,622 105,197 151,555 210,394 303,110 525,985 1,051,970 1,788,349 3,576,698 8,941,745 17,883,490

Collatz Trajectory (138 steps to reach 1)

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

17,883,490 8,941,745 26,825,236 13,412,618 6,706,309 20,118,928 10,059,464 5,029,732 2,514,866 1,257,433 3,772,300 1,886,150 943,075 2,829,226 1,414,613 4,243,840 2,121,920 1,060,960 530,480 265,240 132,620 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526

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