29,802,492

2² × 3⁵ × 30661

29,802,492 factors as 2^2 × 3^5 × 30661. Its 36 positive divisors give a proper-divisor sum of 48,324,284, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 30661

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 78,126,776

Proper Divisor Sum 48,324,284

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #29802467 ← → #29802497

Radix Representation

Decimal	29802492
Binary	1110001101011111111111100 (25 bits)
Octal	0o161537774
Hexadecimal	0x1C6BFFC

Divisor Catalog (36)

Collatz Trajectory (87 steps to reach 1)

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

29,802,492 14,901,246 7,450,623 22,351,870 11,175,935 33,527,806 16,763,903 50,291,710 25,145,855 75,437,566 37,718,783 113,156,350 56,578,175 169,734,526 84,867,263 254,601,790 127,300,895 381,902,686 190,951,343 572,854,030 286,427,015 859,281,046 429,640,523 1,288,921,570 644,460,785 1,933,382,356 966,691,178 483,345,589 1,450,036,768 725,018,384 362,509,192 181,254,596 90,627,298 45,313,649 135,940,948 67,970,474 33,985,237 101,955,712 50,977,856 25,488,928 12,744,464 6,372,232 3,186,116 1,593,058 796,529 2,389,588 1,194,794 597,397 1,792,192 896,096 448,048 224,024 112,012 56,006 28,003 84,010 42,005 126,016 63,008 31,504

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