λ
Integer Codex

9,965,232

24 × 32 × 69203
Abundant Even Composite

For 9,965,232, the 30 positive divisors have a total of 27,889,212. Removing 9,965,232 leaves 17,923,980, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 69203
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 27,889,212
Proper Divisor Sum 17,923,980
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9965227 ← → #9965239

Radix Representation

Decimal 9965232
Binary 100110000000111010110000 (24 bits)
Octal 0o46007260
Hexadecimal 0x980EB0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 69,203 138,406 207,609 276,812 415,218 553,624 622,827 830,436 1,107,248 1,245,654 1,660,872 2,491,308 3,321,744 4,982,616 9,965,232

Collatz Trajectory (137 steps to reach 1)

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

9,965,232 4,982,616 2,491,308 1,245,654 622,827 1,868,482 934,241 2,802,724 1,401,362 700,681 2,102,044 1,051,022 525,511 1,576,534 788,267 2,364,802 1,182,401 3,547,204 1,773,602 886,801 2,660,404 1,330,202 665,101 1,995,304 997,652 498,826 249,413 748,240 374,120 187,060 93,530 46,765 140,296 70,148 35,074 17,537 52,612 26,306 13,153 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220

More profiles

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