λ
Integer Codex

9,702,966

2 × 3 × 7 × 132 × 1367
Abundant Even Composite

For 9,702,966, the 48 positive divisors have a total of 24,033,024. Removing 9,702,966 leaves 14,330,058, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 13^2 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,033,024
Proper Divisor Sum 14,330,058
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9702961 ← → #9702967

Radix Representation

Decimal 9702966
Binary 100101000000111000110110 (24 bits)
Octal 0o45007066
Hexadecimal 0x940E36

Divisor Catalog (5 of 48)

1 2 3 6 7

Collatz Trajectory (225 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

9,702,966 4,851,483 14,554,450 7,277,225 21,831,676

More profiles

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