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Atlas › Integer Profiles › Node 7,844,530

7,844,530

2 × 5 × 192 × 41 × 53
Deficient Even Composite

7,844,530 factors as 2 × 5 × 19^2 × 41 × 53. Its 48 positive divisors give a proper-divisor sum of 7,709,414, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19^2 × 41 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,553,944
Proper Divisor Sum 7,709,414
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7844521 ← → #7844537

Radix Representation

Decimal 7844530
Binary 11101111011001010110010 (23 bits)
Octal 0o35731262
Hexadecimal 0x77B2B2

Divisor Catalog (48)

1 2 5 10 19 38 41 53 82 95 106 190 205 265 361 410 530 722 779 1,007 1,558 1,805 2,014 2,173 3,610 3,895 4,346 5,035 7,790 10,070 10,865 14,801 19,133 21,730 29,602 38,266 41,287 74,005 82,574 95,665 148,010 191,330 206,435 412,870 784,453 1,568,906 3,922,265 7,844,530

Collatz Trajectory (186 steps to reach 1)

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

7,844,530 3,922,265 11,766,796 5,883,398 2,941,699 8,825,098 4,412,549 13,237,648 6,618,824 3,309,412 1,654,706 827,353 2,482,060 1,241,030 620,515 1,861,546 930,773 2,792,320 1,396,160 698,080 349,040 174,520 87,260 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296

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