26,329,464

2³ × 3² × 7² × 17 × 439

26,329,464 factors as 2^3 × 3^2 × 7^2 × 17 × 439. Its 144 positive divisors give a proper-divisor sum of 61,701,336, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 17 × 439

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 88,030,800

Proper Divisor Sum 61,701,336

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #26329463 ← → #26329483

Radix Representation

Decimal	26329464
Binary	1100100011100000101111000 (25 bits)
Octal	0o144340570
Hexadecimal	0x191C178

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 439 441 476 504 588 612 714 833 878 882 952 1,071 1,176 1,224 1,317 1,428 1,666 1,756

Collatz Trajectory (224 steps to reach 1)

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

26,329,464 13,164,732 6,582,366 3,291,183 9,873,550 4,936,775 14,810,326 7,405,163 22,215,490 11,107,745 33,323,236 16,661,618 8,330,809 24,992,428 12,496,214 6,248,107 18,744,322 9,372,161 28,116,484 14,058,242 7,029,121 21,087,364 10,543,682 5,271,841 15,815,524 7,907,762 3,953,881 11,861,644 5,930,822 2,965,411 8,896,234 4,448,117 13,344,352 6,672,176 3,336,088 1,668,044 834,022 417,011 1,251,034 625,517 1,876,552 938,276 469,138 234,569 703,708 351,854 175,927 527,782 263,891 791,674 395,837 1,187,512 593,756 296,878 148,439 445,318 222,659 667,978 333,989 1,001,968

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