26,329,840

2⁴ × 5 × 329123

26,329,840 factors as 2^4 × 5 × 329123. Its 20 positive divisors give a proper-divisor sum of 34,887,224, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 329123

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 61,217,064

Proper Divisor Sum 34,887,224

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #26329837 ← → #26329843

Radix Representation

Decimal	26329840
Binary	1100100011100001011110000 (25 bits)
Octal	0o144341360
Hexadecimal	0x191C2F0

Divisor Catalog (20)

Collatz Trajectory (149 steps to reach 1)

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

26,329,840 13,164,920 6,582,460 3,291,230 1,645,615 4,936,846 2,468,423 7,405,270 3,702,635 11,107,906 5,553,953 16,661,860 8,330,930 4,165,465 12,496,396 6,248,198 3,124,099 9,372,298 4,686,149 14,058,448 7,029,224 3,514,612 1,757,306 878,653 2,635,960 1,317,980 658,990 329,495 988,486 494,243 1,482,730 741,365 2,224,096 1,112,048 556,024 278,012 139,006 69,503 208,510 104,255 312,766 156,383 469,150 234,575 703,726 351,863 1,055,590 527,795 1,583,386 791,693 2,375,080 1,187,540 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833

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