9,832,064

2⁷ × 11 × 6983

For 9,832,064, the 32 positive divisors have a total of 21,371,040. Removing 9,832,064 leaves 11,538,976, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 11 × 6983

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,371,040

Proper Divisor Sum 11,538,976

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9832061 ← → #9832091

Radix Representation

Decimal	9832064
Binary	100101100000011010000000 (24 bits)
Octal	0o45403200
Hexadecimal	0x960680

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 6,983 13,966 27,932 55,864 76,813 111,728 153,626 223,456 307,252 446,912 614,504 893,824 1,229,008 2,458,016 4,916,032 9,832,064

Collatz Trajectory (176 steps to reach 1)

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

9,832,064 4,916,032 2,458,016 1,229,008 614,504 307,252 153,626 76,813 230,440 115,220 57,610 28,805 86,416 43,208 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290

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