29,984,860

2² × 5 × 1499243

29,984,860 factors as 2^2 × 5 × 1499243. Its 12 positive divisors give a proper-divisor sum of 32,983,388, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1499243

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 62,968,248

Proper Divisor Sum 32,983,388

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #29984839 ← → #29984863

Radix Representation

Decimal	29984860
Binary	1110010011000100001011100 (25 bits)
Octal	0o162304134
Hexadecimal	0x1C9885C

Divisor Catalog (12)

1 2 4 5 10 20 1,499,243 2,998,486 5,996,972 7,496,215 14,992,430 29,984,860

Collatz Trajectory (69 steps to reach 1)

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

29,984,860 14,992,430 7,496,215 22,488,646 11,244,323 33,732,970 16,866,485 50,599,456 25,299,728 12,649,864 6,324,932 3,162,466 1,581,233 4,743,700 2,371,850 1,185,925 3,557,776 1,778,888 889,444 444,722 222,361 667,084 333,542 166,771 500,314 250,157 750,472 375,236 187,618 93,809 281,428 140,714 70,357 211,072 105,536 52,768 26,384 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26

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