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9,745,152

28 × 3 × 12689
Abundant Even Composite

9,745,152 factors as 2^8 × 3 × 12689. Its 36 positive divisors give a proper-divisor sum of 16,193,208, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 12689
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,938,360
Proper Divisor Sum 16,193,208
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9745117 ← → #9745181

Radix Representation

Decimal 9745152
Binary 100101001011001100000000 (24 bits)
Octal 0o45131400
Hexadecimal 0x94B300

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 12,689 25,378 38,067 50,756 76,134 101,512 152,268 203,024 304,536 406,048 609,072 812,096 1,218,144 1,624,192 2,436,288 3,248,384 4,872,576 9,745,152

Collatz Trajectory (62 steps to reach 1)

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

9,745,152 4,872,576 2,436,288 1,218,144 609,072 304,536 152,268 76,134 38,067 114,202 57,101 171,304 85,652 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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