582,841

7 × 53 × 1571

582,841 factors as 7 × 53 × 1571. Its 8 positive divisors give a proper-divisor sum of 96,263, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 7 × 53 × 1571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 679,104

Proper Divisor Sum 96,263

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #582821 ← → #582851

Radix Representation

Decimal	582841
Binary	10001110010010111001 (20 bits)
Octal	0o2162271
Hexadecimal	0x8E4B9

Divisor Catalog (8)

1 7 53 371 1,571 10,997 83,263 582,841

Collatz Trajectory (128 steps to reach 1)

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

582,841 1,748,524 874,262 437,131 1,311,394 655,697 1,967,092 983,546 491,773 1,475,320 737,660 368,830 184,415 553,246 276,623 829,870 414,935 1,244,806 622,403 1,867,210 933,605 2,800,816 1,400,408 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157 93,472 46,736 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192

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