29,596,014

2 × 3² × 7 × 17 × 41 × 337

29,596,014 factors as 2 × 3^2 × 7 × 17 × 41 × 337. Its 96 positive divisors give a proper-divisor sum of 50,128,722, so this integer is abundant. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 41 × 337

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 79,724,736

Proper Divisor Sum 50,128,722

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #29596013 ← → #29596079

Radix Representation

Decimal	29596014
Binary	1110000111001100101101110 (25 bits)
Octal	0o160714556
Hexadecimal	0x1C3996E

Divisor Catalog (60 of 96)

1 2 3 6 7 9 14 17 18 21 34 41 42 51 63 82 102 119 123 126 153 238 246 287 306 337 357 369 574 674 697 714 738 861 1,011 1,071 1,394 1,722 2,022 2,091 2,142 2,359 2,583 3,033 4,182 4,718 4,879 5,166 5,729 6,066 6,273 7,077 9,758 11,458 12,546 13,817 14,154 14,637 17,187 21,231

Collatz Trajectory (356 steps to reach 1)

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

29,596,014 14,798,007 44,394,022 22,197,011 66,591,034 33,295,517 99,886,552 49,943,276 24,971,638 12,485,819 37,457,458 18,728,729 56,186,188 28,093,094 14,046,547 42,139,642 21,069,821 63,209,464 31,604,732 15,802,366 7,901,183 23,703,550 11,851,775 35,555,326 17,777,663 53,332,990 26,666,495 79,999,486 39,999,743 119,999,230 59,999,615 179,998,846 89,999,423 269,998,270 134,999,135 404,997,406 202,498,703 607,496,110 303,748,055 911,244,166 455,622,083 1,366,866,250 683,433,125 2,050,299,376 1,025,149,688 512,574,844 256,287,422 128,143,711 384,431,134 192,215,567 576,646,702 288,323,351 864,970,054 432,485,027 1,297,455,082 648,727,541 1,946,182,624 973,091,312 486,545,656 243,272,828

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