λ
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9,840,753

32 × 13 × 241 × 349
Deficient Odd Composite

9,840,753 factors as 3^2 × 13 × 241 × 349. Its 24 positive divisors give a proper-divisor sum of 5,574,647, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 241 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,415,400
Proper Divisor Sum 5,574,647
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9840751 ← → #9840763

Radix Representation

Decimal 9840753
Binary 100101100010100001110001 (24 bits)
Octal 0o45424161
Hexadecimal 0x962871

Divisor Catalog (24)

1 3 9 13 39 117 241 349 723 1,047 2,169 3,133 3,141 4,537 9,399 13,611 28,197 40,833 84,109 252,327 756,981 1,093,417 3,280,251 9,840,753

Collatz Trajectory (83 steps to reach 1)

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

9,840,753 29,522,260 14,761,130 7,380,565 22,141,696 11,070,848 5,535,424 2,767,712 1,383,856 691,928 345,964 172,982 86,491 259,474 129,737 389,212 194,606 97,303 291,910 145,955 437,866 218,933 656,800 328,400 164,200 82,100 41,050 20,525 61,576 30,788 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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