29,285,992

2³ × 19 × 23 × 8377

29,285,992 factors as 2^3 × 19 × 23 × 8377. Its 32 positive divisors give a proper-divisor sum of 31,035,608, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 8377

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 60,321,600

Proper Divisor Sum 31,035,608

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #29285987 ← → #29286001

Radix Representation

Decimal	29285992
Binary	1101111101101111001101000 (25 bits)
Octal	0o157557150
Hexadecimal	0x1BEDE68

Divisor Catalog (32)

Collatz Trajectory (224 steps to reach 1)

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

29,285,992 14,642,996 7,321,498 3,660,749 10,982,248 5,491,124 2,745,562 1,372,781 4,118,344 2,059,172 1,029,586 514,793 1,544,380 772,190 386,095 1,158,286 579,143 1,737,430 868,715 2,606,146 1,303,073 3,909,220 1,954,610 977,305 2,931,916 1,465,958 732,979 2,198,938 1,099,469 3,298,408 1,649,204 824,602 412,301 1,236,904 618,452 309,226 154,613 463,840 231,920 115,960 57,980 28,990 14,495 43,486 21,743 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759

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