83,173,131

3² × 29 × 318671

83,173,131 factors as 3^2 × 29 × 318671. Its 12 positive divisors give a proper-divisor sum of 41,108,949, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 318671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 124,282,080

Proper Divisor Sum 41,108,949

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #83173121 ← → #83173147

Radix Representation

Decimal	83173131
Binary	100111101010001111100001011 (27 bits)
Octal	0o475217413
Hexadecimal	0x4F51F0B

Divisor Catalog (12)

1 3 9 29 87 261 318,671 956,013 2,868,039 9,241,459 27,724,377 83,173,131

Collatz Trajectory (161 steps to reach 1)

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

83,173,131 249,519,394 124,759,697 374,279,092 187,139,546 93,569,773 280,709,320 140,354,660 70,177,330 35,088,665 105,265,996 52,632,998 26,316,499 78,949,498 39,474,749 118,424,248 59,212,124 29,606,062 14,803,031 44,409,094 22,204,547 66,613,642 33,306,821 99,920,464 49,960,232 24,980,116 12,490,058 6,245,029 18,735,088 9,367,544 4,683,772 2,341,886 1,170,943 3,512,830 1,756,415 5,269,246 2,634,623 7,903,870 3,951,935 11,855,806 5,927,903 17,783,710 8,891,855 26,675,566 13,337,783 40,013,350 20,006,675 60,020,026 30,010,013 90,030,040 45,015,020 22,507,510 11,253,755 33,761,266 16,880,633 50,641,900 25,320,950 12,660,475 37,981,426 18,990,713

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