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Atlas › Integer Profiles › Node 9,852,288

9,852,288

27 × 3 × 25657
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 25657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,171,160
Proper Divisor Sum 16,318,872
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9852277 ← → #9852313

Radix Representation

Decimal 9852288
Binary 100101100101010110000000 (24 bits)
Octal 0o45452600
Hexadecimal 0x965580

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 25,657 51,314 76,971 102,628 153,942 205,256 307,884 410,512 615,768 821,024 1,231,536 1,642,048 2,463,072 3,284,096 4,926,144 9,852,288

Collatz Trajectory (83 steps to reach 1)

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

9,852,288 4,926,144 2,463,072 1,231,536 615,768 307,884 153,942 76,971 230,914 115,457 346,372 173,186 86,593 259,780 129,890 64,945 194,836 97,418 48,709 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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