λ
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Atlas › Integer Profiles › Node 9,708,032

9,708,032

29 × 67 × 283
Abundant Even Composite

9,708,032 factors as 2^9 × 67 × 283. Its 40 positive divisors give a proper-divisor sum of 10,048,144, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^9 × 67 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,756,176
Proper Divisor Sum 10,048,144
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9707989 ← → #9708113

Radix Representation

Decimal 9708032
Binary 100101000010001000000000 (24 bits)
Octal 0o45021000
Hexadecimal 0x942200

Divisor Catalog (40)

1 2 4 8 16 32 64 67 128 134 256 268 283 512 536 566 1,072 1,132 2,144 2,264 4,288 4,528 8,576 9,056 17,152 18,112 18,961 34,304 36,224 37,922 72,448 75,844 144,896 151,688 303,376 606,752 1,213,504 2,427,008 4,854,016 9,708,032

Collatz Trajectory (132 steps to reach 1)

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

9,708,032 4,854,016 2,427,008 1,213,504 606,752 303,376 151,688 75,844 37,922 18,961 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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