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Atlas › Integer Profiles › Node 9,856,956

9,856,956

22 × 3 × 619 × 1327
Abundant Even Composite

9,856,956 factors as 2^2 × 3 × 619 × 1327. Its 24 positive divisors give a proper-divisor sum of 13,197,124, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 619 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,054,080
Proper Divisor Sum 13,197,124
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9856943 ← → #9856963

Radix Representation

Decimal 9856956
Binary 100101100110011110111100 (24 bits)
Octal 0o45463674
Hexadecimal 0x9667BC

Divisor Catalog (24)

1 2 3 4 6 12 619 1,238 1,327 1,857 2,476 2,654 3,714 3,981 5,308 7,428 7,962 15,924 821,413 1,642,826 2,464,239 3,285,652 4,928,478 9,856,956

Collatz Trajectory (194 steps to reach 1)

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

9,856,956 4,928,478 2,464,239 7,392,718 3,696,359 11,089,078 5,544,539 16,633,618 8,316,809 24,950,428 12,475,214 6,237,607 18,712,822 9,356,411 28,069,234 14,034,617 42,103,852 21,051,926 10,525,963 31,577,890 15,788,945 47,366,836 23,683,418 11,841,709 35,525,128 17,762,564 8,881,282 4,440,641 13,321,924 6,660,962 3,330,481 9,991,444 4,995,722 2,497,861 7,493,584 3,746,792 1,873,396 936,698 468,349 1,405,048 702,524 351,262 175,631 526,894 263,447 790,342 395,171 1,185,514 592,757 1,778,272 889,136 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518

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