λ
Ratio Atlas

9,736,941

3 × 337 × 9631
Deficient Odd Composite

9,736,941 factors as 3 × 337 × 9631. Its 8 positive divisors give a proper-divisor sum of 3,285,523, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 337 × 9631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,022,464
Proper Divisor Sum 3,285,523
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9736939 ← → #9736973

Radix Representation

Decimal 9736941
Binary 100101001001001011101101 (24 bits)
Octal 0o45111355
Hexadecimal 0x9492ED

Divisor Catalog (8)

1 3 337 1,011 9,631 28,893 3,245,647 9,736,941

Collatz Trajectory (114 steps to reach 1)

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

9,736,941 29,210,824 14,605,412 7,302,706 3,651,353 10,954,060 5,477,030 2,738,515 8,215,546 4,107,773 12,323,320 6,161,660 3,080,830 1,540,415 4,621,246 2,310,623 6,931,870 3,465,935 10,397,806 5,198,903 15,596,710 7,798,355 23,395,066 11,697,533 35,092,600 17,546,300 8,773,150 4,386,575 13,159,726 6,579,863 19,739,590 9,869,795 29,609,386 14,804,693 44,414,080 22,207,040 11,103,520 5,551,760 2,775,880 1,387,940 693,970 346,985 1,040,956 520,478 260,239 780,718 390,359 1,171,078 585,539 1,756,618 878,309 2,634,928 1,317,464 658,732 329,366 164,683 494,050 247,025 741,076 370,538

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