9,601,560

2³ × 3² × 5 × 149 × 179

9,601,560 has digital root 9. The neighboring primes are 9601547 and 9601561; its proper-divisor sum differs from the starting integer by 12,386,880.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 149 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 31,590,000

Proper Divisor Sum 21,988,440

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9601547 ← → #9601561

Radix Representation

Decimal	9601560
Binary	100100101000001000011000 (24 bits)
Octal	0o44501030
Hexadecimal	0x928218

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 179 180 298 358 360 447 537 596 716 745 894 895 1,074 1,192 1,341 1,432 1,490 1,611 1,788 1,790 2,148 2,235 2,682 2,685 2,980 3,222 3,576 3,580 4,296 4,470 5,364 5,370 5,960 6,444 6,705 7,160 8,055

Collatz Trajectory (93 steps to reach 1)

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

9,601,560 4,800,780 2,400,390 1,200,195 3,600,586 1,800,293 5,400,880 2,700,440 1,350,220 675,110 337,555 1,012,666 506,333 1,519,000 759,500 379,750 189,875 569,626 284,813 854,440 427,220 213,610 106,805 320,416 160,208 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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