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6,312,656

24 × 7 × 157 × 359
Abundant Even Composite

6,312,656 factors as 2^4 × 7 × 157 × 359. Its 40 positive divisors give a proper-divisor sum of 7,793,584, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 157 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,106,240
Proper Divisor Sum 7,793,584
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6312641 ← → #6312659

Radix Representation

Decimal 6312656
Binary 11000000101001011010000 (23 bits)
Octal 0o30051320
Hexadecimal 0x6052D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 157 314 359 628 718 1,099 1,256 1,436 2,198 2,512 2,513 2,872 4,396 5,026 5,744 8,792 10,052 17,584 20,104 40,208 56,363 112,726 225,452 394,541 450,904 789,082 901,808 1,578,164 3,156,328 6,312,656

Collatz Trajectory (165 steps to reach 1)

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

6,312,656 3,156,328 1,578,164 789,082 394,541 1,183,624 591,812 295,906 147,953 443,860 221,930 110,965 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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