29,967,396

2² × 3 × 17 × 71 × 2069

29,967,396 factors as 2^2 × 3 × 17 × 71 × 2069. Its 48 positive divisors give a proper-divisor sum of 45,148,764, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 71 × 2069

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 75,116,160

Proper Divisor Sum 45,148,764

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #29967349 ← → #29967397

Radix Representation

Decimal	29967396
Binary	1110010010100010000100100 (25 bits)
Octal	0o162242044
Hexadecimal	0x1C94424

Divisor Catalog (48)

Collatz Trajectory (175 steps to reach 1)

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

29,967,396 14,983,698 7,491,849 22,475,548 11,237,774 5,618,887 16,856,662 8,428,331 25,284,994 12,642,497 37,927,492 18,963,746 9,481,873 28,445,620 14,222,810 7,111,405 21,334,216 10,667,108 5,333,554 2,666,777 8,000,332 4,000,166 2,000,083 6,000,250 3,000,125 9,000,376 4,500,188 2,250,094 1,125,047 3,375,142 1,687,571 5,062,714 2,531,357 7,594,072 3,797,036 1,898,518 949,259 2,847,778 1,423,889 4,271,668 2,135,834 1,067,917 3,203,752 1,601,876 800,938 400,469 1,201,408 600,704 300,352 150,176 75,088 37,544 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880

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