λ
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Atlas › Integer Profiles › Node 83,080,593

83,080,593

33 × 83 × 131 × 283
Deficient Odd Composite

83,080,593 factors as 3^3 × 83 × 131 × 283. Its 32 positive divisors give a proper-divisor sum of 42,879,087, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3^3 × 83 × 131 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,959,680
Proper Divisor Sum 42,879,087
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #83080573 ← → #83080619

Radix Representation

Decimal 83080593
Binary 100111100111011010110010001 (27 bits)
Octal 0o474732621
Hexadecimal 0x4F3B591

Divisor Catalog (32)

1 3 9 27 83 131 249 283 393 747 849 1,179 2,241 2,547 3,537 7,641 10,873 23,489 32,619 37,073 70,467 97,857 111,219 211,401 293,571 333,657 634,203 1,000,971 3,077,059 9,231,177 27,693,531 83,080,593

Collatz Trajectory (179 steps to reach 1)

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

83,080,593 249,241,780 124,620,890 62,310,445 186,931,336 93,465,668 46,732,834 23,366,417 70,099,252 35,049,626 17,524,813 52,574,440 26,287,220 13,143,610 6,571,805 19,715,416 9,857,708 4,928,854 2,464,427 7,393,282 3,696,641 11,089,924 5,544,962 2,772,481 8,317,444 4,158,722 2,079,361 6,238,084 3,119,042 1,559,521 4,678,564 2,339,282 1,169,641 3,508,924 1,754,462 877,231 2,631,694 1,315,847 3,947,542 1,973,771 5,921,314 2,960,657 8,881,972 4,440,986 2,220,493 6,661,480 3,330,740 1,665,370 832,685 2,498,056 1,249,028 624,514 312,257 936,772 468,386 234,193 702,580 351,290 175,645 526,936

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