29,732,831

41 × 443 × 1637

29,732,831 factors as 41 × 443 × 1637. Its 8 positive divisors give a proper-divisor sum of 812,593, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 41 × 443 × 1637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 30,545,424

Proper Divisor Sum 812,593

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #29732821 ← → #29732849

Radix Representation

Decimal	29732831
Binary	1110001011010111111011111 (25 bits)
Octal	0o161327737
Hexadecimal	0x1C5AFDF

Divisor Catalog (8)

1 41 443 1,637 18,163 67,117 725,191 29,732,831

Collatz Trajectory (144 steps to reach 1)

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

29,732,831 89,198,494 44,599,247 133,797,742 66,898,871 200,696,614 100,348,307 301,044,922 150,522,461 451,567,384 225,783,692 112,891,846 56,445,923 169,337,770 84,668,885 254,006,656 127,003,328 63,501,664 31,750,832 15,875,416 7,937,708 3,968,854 1,984,427 5,953,282 2,976,641 8,929,924 4,464,962 2,232,481 6,697,444 3,348,722 1,674,361 5,023,084 2,511,542 1,255,771 3,767,314 1,883,657 5,650,972 2,825,486 1,412,743 4,238,230 2,119,115 6,357,346 3,178,673 9,536,020 4,768,010 2,384,005 7,152,016 3,576,008 1,788,004 894,002 447,001 1,341,004 670,502 335,251 1,005,754 502,877 1,508,632 754,316 377,158 188,579

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