λ
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Atlas › Integer Profiles › Node 9,706,986

9,706,986

2 × 33 × 19 × 9461
Abundant Even Composite

9,706,986 factors as 2 × 3^3 × 19 × 9461. Its 32 positive divisors give a proper-divisor sum of 13,001,814, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 9461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,708,800
Proper Divisor Sum 13,001,814
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9706981 ← → #9706993

Radix Representation

Decimal 9706986
Binary 100101000001110111101010 (24 bits)
Octal 0o45016752
Hexadecimal 0x941DEA

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 9,461 18,922 28,383 56,766 85,149 170,298 179,759 255,447 359,518 510,894 539,277 1,078,554 1,617,831 3,235,662 4,853,493 9,706,986

Collatz Trajectory (101 steps to reach 1)

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

9,706,986 4,853,493 14,560,480 7,280,240 3,640,120 1,820,060 910,030 455,015 1,365,046 682,523 2,047,570 1,023,785 3,071,356 1,535,678 767,839 2,303,518 1,151,759 3,455,278 1,727,639 5,182,918 2,591,459 7,774,378 3,887,189 11,661,568 5,830,784 2,915,392 1,457,696 728,848 364,424 182,212 91,106 45,553 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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