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5,961,560

23 × 5 × 11 × 17 × 797
Abundant Even Composite

5,961,560 factors as 2^3 × 5 × 11 × 17 × 797. Its 64 positive divisors give a proper-divisor sum of 9,551,560, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,513,120
Proper Divisor Sum 9,551,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5961547 ← → #5961569

Radix Representation

Decimal 5961560
Binary 10110101111011101011000 (23 bits)
Octal 0o26573530
Hexadecimal 0x5AF758

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 797 935 1,496 1,594 1,870 3,188 3,740 3,985 6,376 7,480 7,970 8,767 13,549 15,940 17,534 27,098 31,880 35,068 43,835 54,196 67,745 70,136 87,670 108,392 135,490 149,039 175,340 270,980 298,078 350,680 541,960 596,156 745,195

Collatz Trajectory (139 steps to reach 1)

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

5,961,560 2,980,780 1,490,390 745,195 2,235,586 1,117,793 3,353,380 1,676,690 838,345 2,515,036 1,257,518 628,759 1,886,278 943,139 2,829,418 1,414,709 4,244,128 2,122,064 1,061,032 530,516 265,258 132,629 397,888 198,944 99,472 49,736 24,868 12,434 6,217 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052

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