29,596,147

7² × 23 × 26261

29,596,147 factors as 7^2 × 23 × 26261. Its 12 positive divisors give a proper-divisor sum of 6,330,269, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 7^2 × 23 × 26261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 35,926,416

Proper Divisor Sum 6,330,269

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #29596141 ← → #29596183

Radix Representation

Decimal	29596147
Binary	1110000111001100111110011 (25 bits)
Octal	0o160714763
Hexadecimal	0x1C399F3

Divisor Catalog (12)

1 7 23 49 161 1,127 26,261 183,827 604,003 1,286,789 4,228,021 29,596,147

Collatz Trajectory (175 steps to reach 1)

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

29,596,147 88,788,442 44,394,221 133,182,664 66,591,332 33,295,666 16,647,833 49,943,500 24,971,750 12,485,875 37,457,626 18,728,813 56,186,440 28,093,220 14,046,610 7,023,305 21,069,916 10,534,958 5,267,479 15,802,438 7,901,219 23,703,658 11,851,829 35,555,488 17,777,744 8,888,872 4,444,436 2,222,218 1,111,109 3,333,328 1,666,664 833,332 416,666 208,333 625,000 312,500 156,250 78,125 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145

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