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Modular Archive

97,664

27 × 7 × 109
Abundant Even Composite

The decimal integer 97,664 is 10111110110000000 in binary (17 bits), 276600 in octal and 17D80 in hexadecimal. Its digit sum is 32.

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Prime Factor Structure

Factorization String 2^7 × 7 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 224,400
Proper Divisor Sum 126,736
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #97651 ← → #97673

Radix Representation

Decimal 97664
Binary 10111110110000000 (17 bits)
Octal 0o276600
Hexadecimal 0x17D80

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (159 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.

97,664 48,832 24,416 12,208 6,104

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