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Atlas › Integer Profiles › Node 9,801,352

9,801,352

23 × 11 × 127 × 877
Abundant Even Composite

9,801,352 factors as 2^3 × 11 × 127 × 877. Its 32 positive divisors give a proper-divisor sum of 10,427,768, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 127 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,229,120
Proper Divisor Sum 10,427,768
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9801349 ← → #9801383

Radix Representation

Decimal 9801352
Binary 100101011000111010001000 (24 bits)
Octal 0o45307210
Hexadecimal 0x958E88

Divisor Catalog (32)

1 2 4 8 11 22 44 88 127 254 508 877 1,016 1,397 1,754 2,794 3,508 5,588 7,016 9,647 11,176 19,294 38,588 77,176 111,379 222,758 445,516 891,032 1,225,169 2,450,338 4,900,676 9,801,352

Collatz Trajectory (176 steps to reach 1)

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

9,801,352 4,900,676 2,450,338 1,225,169 3,675,508 1,837,754 918,877 2,756,632 1,378,316 689,158 344,579 1,033,738 516,869 1,550,608 775,304 387,652 193,826 96,913 290,740 145,370 72,685 218,056 109,028 54,514 27,257 81,772 40,886 20,443 61,330 30,665 91,996 45,998 22,999 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363

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