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Atlas › Integer Profiles › Node 5,966,680

5,966,680

23 × 5 × 43 × 3469
Abundant Even Composite

5,966,680 factors as 2^3 × 5 × 43 × 3469. Its 32 positive divisors give a proper-divisor sum of 7,774,520, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 3469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,741,200
Proper Divisor Sum 7,774,520
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5966669 ← → #5966693

Radix Representation

Decimal 5966680
Binary 10110110000101101011000 (23 bits)
Octal 0o26605530
Hexadecimal 0x5B0B58

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 3,469 6,938 13,876 17,345 27,752 34,690 69,380 138,760 149,167 298,334 596,668 745,835 1,193,336 1,491,670 2,983,340 5,966,680

Collatz Trajectory (165 steps to reach 1)

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

5,966,680 2,983,340 1,491,670 745,835 2,237,506 1,118,753 3,356,260 1,678,130 839,065 2,517,196 1,258,598 629,299 1,887,898 943,949 2,831,848 1,415,924 707,962 353,981 1,061,944 530,972 265,486 132,743 398,230 199,115 597,346 298,673 896,020 448,010 224,005 672,016 336,008 168,004 84,002 42,001 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311

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