λ
Sigma Notebook

9,683,196

22 × 3 × 37 × 113 × 193
Abundant Even Composite

9,683,196 is even and not a perfect square. Its factorization is 2^2 × 3 × 37 × 113 × 193 and its 48 divisors sum to 23,531,424.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 113 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,531,424
Proper Divisor Sum 13,848,228
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9683189 ← → #9683197

Radix Representation

Decimal 9683196
Binary 100100111100000011111100 (24 bits)
Octal 0o44740374
Hexadecimal 0x93C0FC

Divisor Catalog (48)

1 2 3 4 6 12 37 74 111 113 148 193 222 226 339 386 444 452 579 678 772 1,158 1,356 2,316 4,181 7,141 8,362 12,543 14,282 16,724 21,423 21,809 25,086 28,564 42,846 43,618 50,172 65,427 85,692 87,236 130,854 261,708 806,933 1,613,866 2,420,799 3,227,732 4,841,598 9,683,196

Collatz Trajectory (176 steps to reach 1)

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

9,683,196 4,841,598 2,420,799 7,262,398 3,631,199 10,893,598 5,446,799 16,340,398 8,170,199 24,510,598 12,255,299 36,765,898 18,382,949 55,148,848 27,574,424 13,787,212 6,893,606 3,446,803 10,340,410 5,170,205 15,510,616 7,755,308 3,877,654 1,938,827 5,816,482 2,908,241 8,724,724 4,362,362 2,181,181 6,543,544 3,271,772 1,635,886 817,943 2,453,830 1,226,915 3,680,746 1,840,373 5,521,120 2,760,560 1,380,280 690,140 345,070 172,535 517,606 258,803 776,410 388,205 1,164,616 582,308 291,154 145,577 436,732 218,366 109,183 327,550 163,775 491,326 245,663 736,990 368,495

More profiles

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