29,992,072

2³ × 11 × 340819

29,992,072 factors as 2^3 × 11 × 340819. Its 16 positive divisors give a proper-divisor sum of 31,355,528, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 340819

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,347,600

Proper Divisor Sum 31,355,528

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #29992049 ← → #29992087

Radix Representation

Decimal	29992072
Binary	1110010011010010010001000 (25 bits)
Octal	0o162322210
Hexadecimal	0x1C9A488

Divisor Catalog (16)

1 2 4 8 11 22 44 88 340,819 681,638 1,363,276 2,726,552 3,749,009 7,498,018 14,996,036 29,992,072

Collatz Trajectory (113 steps to reach 1)

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

29,992,072 14,996,036 7,498,018 3,749,009 11,247,028 5,623,514 2,811,757 8,435,272 4,217,636 2,108,818 1,054,409 3,163,228 1,581,614 790,807 2,372,422 1,186,211 3,558,634 1,779,317 5,337,952 2,668,976 1,334,488 667,244 333,622 166,811 500,434 250,217 750,652 375,326 187,663 562,990 281,495 844,486 422,243 1,266,730 633,365 1,900,096 950,048 475,024 237,512 118,756 59,378 29,689 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240

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