29,613,624

2³ × 3 × 79 × 15619

29,613,624 factors as 2^3 × 3 × 79 × 15619. Its 32 positive divisors give a proper-divisor sum of 45,362,376, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 79 × 15619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 74,976,000

Proper Divisor Sum 45,362,376

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #29613613 ← → #29613629

Radix Representation

Decimal	29613624
Binary	1110000111101111000111000 (25 bits)
Octal	0o160757070
Hexadecimal	0x1C3DE38

Divisor Catalog (32)

Collatz Trajectory (167 steps to reach 1)

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

29,613,624 14,806,812 7,403,406 3,701,703 11,105,110 5,552,555 16,657,666 8,328,833 24,986,500 12,493,250 6,246,625 18,739,876 9,369,938 4,684,969 14,054,908 7,027,454 3,513,727 10,541,182 5,270,591 15,811,774 7,905,887 23,717,662 11,858,831 35,576,494 17,788,247 53,364,742 26,682,371 80,047,114 40,023,557 120,070,672 60,035,336 30,017,668 15,008,834 7,504,417 22,513,252 11,256,626 5,628,313 16,884,940 8,442,470 4,221,235 12,663,706 6,331,853 18,995,560 9,497,780 4,748,890 2,374,445 7,123,336 3,561,668 1,780,834 890,417 2,671,252 1,335,626 667,813 2,003,440 1,001,720 500,860 250,430 125,215 375,646 187,823

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