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6,322,720

25 × 5 × 43 × 919
Abundant Even Composite

6,322,720 factors as 2^5 × 5 × 43 × 919. Its 48 positive divisors give a proper-divisor sum of 8,978,720, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 43 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,301,440
Proper Divisor Sum 8,978,720
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6322717 ← → #6322727

Radix Representation

Decimal 6322720
Binary 11000000111101000100000 (23 bits)
Octal 0o30075040
Hexadecimal 0x607A20

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 919 1,376 1,720 1,838 3,440 3,676 4,595 6,880 7,352 9,190 14,704 18,380 29,408 36,760 39,517 73,520 79,034 147,040 158,068 197,585 316,136 395,170 632,272 790,340 1,264,544 1,580,680 3,161,360 6,322,720

Collatz Trajectory (152 steps to reach 1)

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

6,322,720 3,161,360 1,580,680 790,340 395,170 197,585 592,756 296,378 148,189 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115

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