26,329,121

7² × 13 × 41333

26,329,121 factors as 7^2 × 13 × 41333. Its 12 positive divisors give a proper-divisor sum of 6,655,411, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 41333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 32,984,532

Proper Divisor Sum 6,655,411

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #26329111 ← → #26329123

Radix Representation

Decimal	26329121
Binary	1100100011100000000100001 (25 bits)
Octal	0o144340041
Hexadecimal	0x191C021

Divisor Catalog (12)

1 7 13 49 91 637 41,333 289,331 537,329 2,025,317 3,761,303 26,329,121

Collatz Trajectory (180 steps to reach 1)

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

26,329,121 78,987,364 39,493,682 19,746,841 59,240,524 29,620,262 14,810,131 44,430,394 22,215,197 66,645,592 33,322,796 16,661,398 8,330,699 24,992,098 12,496,049 37,488,148 18,744,074 9,372,037 28,116,112 14,058,056 7,029,028 3,514,514 1,757,257 5,271,772 2,635,886 1,317,943 3,953,830 1,976,915 5,930,746 2,965,373 8,896,120 4,448,060 2,224,030 1,112,015 3,336,046 1,668,023 5,004,070 2,502,035 7,506,106 3,753,053 11,259,160 5,629,580 2,814,790 1,407,395 4,222,186 2,111,093 6,333,280 3,166,640 1,583,320 791,660 395,830 197,915 593,746 296,873 890,620 445,310 222,655 667,966 333,983 1,001,950

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