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Atlas › Integer Profiles › Node 9,750,858

9,750,858

2 × 3 × 13 × 149 × 839
Abundant Even Composite

9,750,858 factors as 2 × 3 × 13 × 149 × 839. Its 32 positive divisors give a proper-divisor sum of 11,417,142, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 149 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,168,000
Proper Divisor Sum 11,417,142
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9750841 ← → #9750859

Radix Representation

Decimal 9750858
Binary 100101001100100101001010 (24 bits)
Octal 0o45144512
Hexadecimal 0x94C94A

Divisor Catalog (32)

1 2 3 6 13 26 39 78 149 298 447 839 894 1,678 1,937 2,517 3,874 5,034 5,811 10,907 11,622 21,814 32,721 65,442 125,011 250,022 375,033 750,066 1,625,143 3,250,286 4,875,429 9,750,858

Collatz Trajectory (62 steps to reach 1)

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

9,750,858 4,875,429 14,626,288 7,313,144 3,656,572 1,828,286 914,143 2,742,430 1,371,215 4,113,646 2,056,823 6,170,470 3,085,235 9,255,706 4,627,853 13,883,560 6,941,780 3,470,890 1,735,445 5,206,336 2,603,168 1,301,584 650,792 325,396 162,698 81,349 244,048 122,024 61,012 30,506 15,253 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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