λ
Integer Codex

9,605,980

22 × 5 × 480299
Abundant Even Composite

For 9,605,980, the 12 positive divisors have a total of 20,172,600. Removing 9,605,980 leaves 10,566,620, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 480299
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,172,600
Proper Divisor Sum 10,566,620
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9605971 ← → #9605983

Radix Representation

Decimal 9605980
Binary 100100101001001101011100 (24 bits)
Octal 0o44511534
Hexadecimal 0x92935C

Divisor Catalog (12)

1 2 4 5 10 20 480,299 960,598 1,921,196 2,401,495 4,802,990 9,605,980

Collatz Trajectory (93 steps to reach 1)

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

9,605,980 4,802,990 2,401,495 7,204,486 3,602,243 10,806,730 5,403,365 16,210,096 8,105,048 4,052,524 2,026,262 1,013,131 3,039,394 1,519,697 4,559,092 2,279,546 1,139,773 3,419,320 1,709,660 854,830 427,415 1,282,246 641,123 1,923,370 961,685 2,885,056 1,442,528 721,264 360,632 180,316 90,158 45,079 135,238 67,619 202,858 101,429 304,288 152,144 76,072 38,036 19,018 9,509 28,528 14,264 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

More profiles

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