29,267,782

2 × 31 × 547 × 863

29,267,782 factors as 2 × 31 × 547 × 863. Its 16 positive divisors give a proper-divisor sum of 16,185,530, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 31 × 547 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 45,453,312

Proper Divisor Sum 16,185,530

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #29267773 ← → #29267789

Radix Representation

Decimal	29267782
Binary	1101111101001011101000110 (25 bits)
Octal	0o157513506
Hexadecimal	0x1BE9746

Divisor Catalog (16)

1 2 31 62 547 863 1,094 1,726 16,957 26,753 33,914 53,506 472,061 944,122 14,633,891 29,267,782

Collatz Trajectory (144 steps to reach 1)

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

29,267,782 14,633,891 43,901,674 21,950,837 65,852,512 32,926,256 16,463,128 8,231,564 4,115,782 2,057,891 6,173,674 3,086,837 9,260,512 4,630,256 2,315,128 1,157,564 578,782 289,391 868,174 434,087 1,302,262 651,131 1,953,394 976,697 2,930,092 1,465,046 732,523 2,197,570 1,098,785 3,296,356 1,648,178 824,089 2,472,268 1,236,134 618,067 1,854,202 927,101 2,781,304 1,390,652 695,326 347,663 1,042,990 521,495 1,564,486 782,243 2,346,730 1,173,365 3,520,096 1,760,048 880,024 440,012 220,006 110,003 330,010 165,005 495,016 247,508 123,754 61,877 185,632

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