29,289,580

2² × 5 × 23 × 41 × 1553

29,289,580 factors as 2^2 × 5 × 23 × 41 × 1553. Its 48 positive divisors give a proper-divisor sum of 36,500,564, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 41 × 1553

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 65,790,144

Proper Divisor Sum 36,500,564

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #29289563 ← → #29289593

Radix Representation

Decimal	29289580
Binary	1101111101110110001101100 (25 bits)
Octal	0o157566154
Hexadecimal	0x1BEEC6C

Divisor Catalog (48)

Collatz Trajectory (175 steps to reach 1)

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

29,289,580 14,644,790 7,322,395 21,967,186 10,983,593 32,950,780 16,475,390 8,237,695 24,713,086 12,356,543 37,069,630 18,534,815 55,604,446 27,802,223 83,406,670 41,703,335 125,110,006 62,555,003 187,665,010 93,832,505 281,497,516 140,748,758 70,374,379 211,123,138 105,561,569 316,684,708 158,342,354 79,171,177 237,513,532 118,756,766 59,378,383 178,135,150 89,067,575 267,202,726 133,601,363 400,804,090 200,402,045 601,206,136 300,603,068 150,301,534 75,150,767 225,452,302 112,726,151 338,178,454 169,089,227 507,267,682 253,633,841 760,901,524 380,450,762 190,225,381 570,676,144 285,338,072 142,669,036 71,334,518 35,667,259 107,001,778 53,500,889 160,502,668 80,251,334 40,125,667

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