29,413,640

2³ × 5 × 735341

29,413,640 factors as 2^3 × 5 × 735341. Its 16 positive divisors give a proper-divisor sum of 36,767,140, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 735341

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 66,180,780

Proper Divisor Sum 36,767,140

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #29413639 ← → #29413649

Radix Representation

Decimal	29413640
Binary	1110000001101000100001000 (25 bits)
Octal	0o160150410
Hexadecimal	0x1C0D108

Divisor Catalog (16)

1 2 4 5 8 10 20 40 735,341 1,470,682 2,941,364 3,676,705 5,882,728 7,353,410 14,706,820 29,413,640

Collatz Trajectory (268 steps to reach 1)

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

29,413,640 14,706,820 7,353,410 3,676,705 11,030,116 5,515,058 2,757,529 8,272,588 4,136,294 2,068,147 6,204,442 3,102,221 9,306,664 4,653,332 2,326,666 1,163,333 3,490,000 1,745,000 872,500 436,250 218,125 654,376 327,188 163,594 81,797 245,392 122,696 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472

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