31,788,070

2 × 5 × 23 × 138209

31,788,070 factors as 2 × 5 × 23 × 138209. Its 16 positive divisors give a proper-divisor sum of 27,918,650, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 138209

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,706,720

Proper Divisor Sum 27,918,650

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #31788059 ← → #31788103

Radix Representation

Decimal	31788070
Binary	1111001010000110000100110 (25 bits)
Octal	0o171206046
Hexadecimal	0x1E50C26

Divisor Catalog (16)

1 2 5 10 23 46 115 230 138,209 276,418 691,045 1,382,090 3,178,807 6,357,614 15,894,035 31,788,070

Collatz Trajectory (188 steps to reach 1)

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

31,788,070 15,894,035 47,682,106 23,841,053 71,523,160 35,761,580 17,880,790 8,940,395 26,821,186 13,410,593 40,231,780 20,115,890 10,057,945 30,173,836 15,086,918 7,543,459 22,630,378 11,315,189 33,945,568 16,972,784 8,486,392 4,243,196 2,121,598 1,060,799 3,182,398 1,591,199 4,773,598 2,386,799 7,160,398 3,580,199 10,740,598 5,370,299 16,110,898 8,055,449 24,166,348 12,083,174 6,041,587 18,124,762 9,062,381 27,187,144 13,593,572 6,796,786 3,398,393 10,195,180 5,097,590 2,548,795 7,646,386 3,823,193 11,469,580 5,734,790 2,867,395 8,602,186 4,301,093 12,903,280 6,451,640 3,225,820 1,612,910 806,455 2,419,366 1,209,683

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