29,376,152

2³ × 13 × 23 × 12281

29,376,152 factors as 2^3 × 13 × 23 × 12281. Its 32 positive divisors give a proper-divisor sum of 32,525,128, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 12281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 61,901,280

Proper Divisor Sum 32,525,128

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #29376143 ← → #29376157

Radix Representation

Decimal	29376152
Binary	1110000000011111010011000 (25 bits)
Octal	0o160037230
Hexadecimal	0x1C03E98

Divisor Catalog (32)

Collatz Trajectory (180 steps to reach 1)

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

29,376,152 14,688,076 7,344,038 3,672,019 11,016,058 5,508,029 16,524,088 8,262,044 4,131,022 2,065,511 6,196,534 3,098,267 9,294,802 4,647,401 13,942,204 6,971,102 3,485,551 10,456,654 5,228,327 15,684,982 7,842,491 23,527,474 11,763,737 35,291,212 17,645,606 8,822,803 26,468,410 13,234,205 39,702,616 19,851,308 9,925,654 4,962,827 14,888,482 7,444,241 22,332,724 11,166,362 5,583,181 16,749,544 8,374,772 4,187,386 2,093,693 6,281,080 3,140,540 1,570,270 785,135 2,355,406 1,177,703 3,533,110 1,766,555 5,299,666 2,649,833 7,949,500 3,974,750 1,987,375 5,962,126 2,981,063 8,943,190 4,471,595 13,414,786 6,707,393

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