29,915,936

2⁵ × 29 × 32237

29,915,936 factors as 2^5 × 29 × 32237. Its 24 positive divisors give a proper-divisor sum of 31,013,884, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 32237

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 60,929,820

Proper Divisor Sum 31,013,884

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #29915933 ← → #29915947

Radix Representation

Decimal	29915936
Binary	1110010000111101100100000 (25 bits)
Octal	0o162075440
Hexadecimal	0x1C87B20

Divisor Catalog (24)

Collatz Trajectory (175 steps to reach 1)

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

29,915,936 14,957,968 7,478,984 3,739,492 1,869,746 934,873 2,804,620 1,402,310 701,155 2,103,466 1,051,733 3,155,200 1,577,600 788,800 394,400 197,200 98,600 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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