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2,632,640

26 × 5 × 19 × 433
Abundant Even Composite

2,632,640 factors as 2^6 × 5 × 19 × 433. Its 56 positive divisors give a proper-divisor sum of 3,981,520, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 19 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,614,160
Proper Divisor Sum 3,981,520
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2632633 ← → #2632657

Radix Representation

Decimal 2632640
Binary 1010000010101111000000 (22 bits)
Octal 0o12025700
Hexadecimal 0x282BC0

Divisor Catalog (56)

1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 433 608 760 866 1,216 1,520 1,732 2,165 3,040 3,464 4,330 6,080 6,928 8,227 8,660 13,856 16,454 17,320 27,712 32,908 34,640 41,135 65,816 69,280 82,270 131,632 138,560 164,540 263,264 329,080 526,528 658,160 1,316,320 2,632,640

Collatz Trajectory (143 steps to reach 1)

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

2,632,640 1,316,320 658,160 329,080 164,540 82,270 41,135 123,406 61,703 185,110 92,555 277,666 138,833 416,500 208,250 104,125 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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