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9,700,928

26 × 41 × 3697
Abundant Even Composite

9,700,928 factors as 2^6 × 41 × 3697. Its 28 positive divisors give a proper-divisor sum of 10,024,204, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^6 × 41 × 3697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 19,725,132
Proper Divisor Sum 10,024,204
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9700927 ← → #9700939

Radix Representation

Decimal 9700928
Binary 100101000000011001000000 (24 bits)
Octal 0o45003100
Hexadecimal 0x940640

Divisor Catalog (28)

1 2 4 8 16 32 41 64 82 164 328 656 1,312 2,624 3,697 7,394 14,788 29,576 59,152 118,304 151,577 236,608 303,154 606,308 1,212,616 2,425,232 4,850,464 9,700,928

Collatz Trajectory (101 steps to reach 1)

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

9,700,928 4,850,464 2,425,232 1,212,616 606,308 303,154 151,577 454,732 227,366 113,683 341,050 170,525 511,576 255,788 127,894 63,947 191,842 95,921 287,764 143,882 71,941 215,824 107,912 53,956 26,978 13,489 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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