29,887,827

3 × 359 × 27751

29,887,827 factors as 3 × 359 × 27751. Its 8 positive divisors give a proper-divisor sum of 10,075,053, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3 × 359 × 27751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 39,962,880

Proper Divisor Sum 10,075,053

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #29887801 ← → #29887831

Radix Representation

Decimal	29887827
Binary	1110010000000110101010011 (25 bits)
Octal	0o162006523
Hexadecimal	0x1C80D53

Divisor Catalog (8)

1 3 359 1,077 27,751 83,253 9,962,609 29,887,827

Collatz Trajectory (175 steps to reach 1)

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

29,887,827 89,663,482 44,831,741 134,495,224 67,247,612 33,623,806 16,811,903 50,435,710 25,217,855 75,653,566 37,826,783 113,480,350 56,740,175 170,220,526 85,110,263 255,330,790 127,665,395 382,996,186 191,498,093 574,494,280 287,247,140 143,623,570 71,811,785 215,435,356 107,717,678 53,858,839 161,576,518 80,788,259 242,364,778 121,182,389 363,547,168 181,773,584 90,886,792 45,443,396 22,721,698 11,360,849 34,082,548 17,041,274 8,520,637 25,561,912 12,780,956 6,390,478 3,195,239 9,585,718 4,792,859 14,378,578 7,189,289 21,567,868 10,783,934 5,391,967 16,175,902 8,087,951 24,263,854 12,131,927 36,395,782 18,197,891 54,593,674 27,296,837 81,890,512 40,945,256

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