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Modular Archive

9,984,240

24 × 32 × 5 × 72 × 283
Abundant Even Composite

The decimal integer 9,984,240 is 100110000101100011110000 in binary (24 bits), 46054360 in octal and 9858F0 in hexadecimal. Its digit sum is 36.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7^2 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 180
Divisor Sum (σ) 39,142,584
Proper Divisor Sum 29,158,344
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9984229 ← → #9984241

Radix Representation

Decimal 9984240
Binary 100110000101100011110000 (24 bits)
Octal 0o46054360
Hexadecimal 0x9858F0

Divisor Catalog (5 of 180)

1 2 3 4 5

Collatz Trajectory (207 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.

9,984,240 4,992,120 2,496,060 1,248,030 624,015

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