λ
Prime Ledger

9,741,196

22 × 617 × 3947
Deficient Even Composite

9,741,196 has the prime decomposition 2^2 × 617 × 3947. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 617 × 3947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,079,048
Proper Divisor Sum 7,337,852
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9741181 ← → #9741209

Radix Representation

Decimal 9741196
Binary 100101001010001110001100 (24 bits)
Octal 0o45121614
Hexadecimal 0x94A38C

Divisor Catalog (12)

1 2 4 617 1,234 2,468 3,947 7,894 15,788 2,435,299 4,870,598 9,741,196

Collatz Trajectory (207 steps to reach 1)

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

9,741,196 4,870,598 2,435,299 7,305,898 3,652,949 10,958,848 5,479,424 2,739,712 1,369,856 684,928 342,464 171,232 85,616 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301

More profiles

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