λ
Prime Ledger

9,917,268

22 × 3 × 487 × 1697
Abundant Even Composite

9,917,268 has the prime decomposition 2^2 × 3 × 487 × 1697. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 487 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,201,472
Proper Divisor Sum 13,284,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9917267 ← → #9917279

Radix Representation

Decimal 9917268
Binary 100101110101001101010100 (24 bits)
Octal 0o45651524
Hexadecimal 0x975354

Divisor Catalog (24)

1 2 3 4 6 12 487 974 1,461 1,697 1,948 2,922 3,394 5,091 5,844 6,788 10,182 20,364 826,439 1,652,878 2,479,317 3,305,756 4,958,634 9,917,268

Collatz Trajectory (83 steps to reach 1)

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

9,917,268 4,958,634 2,479,317 7,437,952 3,718,976 1,859,488 929,744 464,872 232,436 116,218 58,109 174,328 87,164 43,582 21,791 65,374 32,687 98,062 49,031 147,094 73,547 220,642 110,321 330,964 165,482 82,741 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49

More profiles

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