29,891,764

2² × 7³ × 21787

29,891,764 factors as 2^2 × 7^3 × 21787. Its 24 positive divisors give a proper-divisor sum of 31,114,636, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 21787

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 61,006,400

Proper Divisor Sum 31,114,636

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #29891761 ← → #29891767

Radix Representation

Decimal	29891764
Binary	1110010000001110010110100 (25 bits)
Octal	0o162016264
Hexadecimal	0x1C81CB4

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

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

29,891,764 14,945,882 7,472,941 22,418,824 11,209,412 5,604,706 2,802,353 8,407,060 4,203,530 2,101,765 6,305,296 3,152,648 1,576,324 788,162 394,081 1,182,244 591,122 295,561 886,684 443,342 221,671 665,014 332,507 997,522 498,761 1,496,284 748,142 374,071 1,122,214 561,107 1,683,322 841,661 2,524,984 1,262,492 631,246 315,623 946,870 473,435 1,420,306 710,153 2,130,460 1,065,230 532,615 1,597,846 798,923 2,396,770 1,198,385 3,595,156 1,797,578 898,789 2,696,368 1,348,184 674,092 337,046 168,523 505,570 252,785 758,356 379,178 189,589

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