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6,399,640

23 × 5 × 13 × 31 × 397
Abundant Even Composite

6,399,640 factors as 2^3 × 5 × 13 × 31 × 397. Its 64 positive divisors give a proper-divisor sum of 9,647,720, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 31 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,047,360
Proper Divisor Sum 9,647,720
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6399629 ← → #6399643

Radix Representation

Decimal 6399640
Binary 11000011010011010011000 (23 bits)
Octal 0o30323230
Hexadecimal 0x61A698

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 397 403 520 620 794 806 1,240 1,588 1,612 1,985 2,015 3,176 3,224 3,970 4,030 5,161 7,940 8,060 10,322 12,307 15,880 16,120 20,644 24,614 25,805 41,288 49,228 51,610 61,535 98,456 103,220 123,070 159,991 206,440 246,140 319,982 492,280 639,964 799,955

Collatz Trajectory (196 steps to reach 1)

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

6,399,640 3,199,820 1,599,910 799,955 2,399,866 1,199,933 3,599,800 1,799,900 899,950 449,975 1,349,926 674,963 2,024,890 1,012,445 3,037,336 1,518,668 759,334 379,667 1,139,002 569,501 1,708,504 854,252 427,126 213,563 640,690 320,345 961,036 480,518 240,259 720,778 360,389 1,081,168 540,584 270,292 135,146 67,573 202,720 101,360 50,680 25,340 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766

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