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26,317,640

23 × 5 × 83 × 7927
Abundant Even Composite

26,317,640 factors as 2^3 × 5 × 83 × 7927. Its 32 positive divisors give a proper-divisor sum of 33,618,040, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 83 × 7927
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,935,680
Proper Divisor Sum 33,618,040
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26317631 ← → #26317757

Radix Representation

Decimal 26317640
Binary 1100100011001001101001000 (25 bits)
Octal 0o144311510
Hexadecimal 0x1919348

Divisor Catalog (32)

1 2 4 5 8 10 20 40 83 166 332 415 664 830 1,660 3,320 7,927 15,854 31,708 39,635 63,416 79,270 158,540 317,080 657,941 1,315,882 2,631,764 3,289,705 5,263,528 6,579,410 13,158,820 26,317,640

Collatz Trajectory (211 steps to reach 1)

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

26,317,640 13,158,820 6,579,410 3,289,705 9,869,116 4,934,558 2,467,279 7,401,838 3,700,919 11,102,758 5,551,379 16,654,138 8,327,069 24,981,208 12,490,604 6,245,302 3,122,651 9,367,954 4,683,977 14,051,932 7,025,966 3,512,983 10,538,950 5,269,475 15,808,426 7,904,213 23,712,640 11,856,320 5,928,160 2,964,080 1,482,040 741,020 370,510 185,255 555,766 277,883 833,650 416,825 1,250,476 625,238 312,619 937,858 468,929 1,406,788 703,394 351,697 1,055,092 527,546 263,773 791,320 395,660 197,830 98,915 296,746 148,373 445,120 222,560 111,280 55,640 27,820

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