λ
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Atlas › Integer Profiles › Node 9,603,368

9,603,368

23 × 17 × 241 × 293
Abundant Even Composite

9,603,368 factors as 2^3 × 17 × 241 × 293. Its 32 positive divisors give a proper-divisor sum of 9,606,592, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 241 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,209,960
Proper Divisor Sum 9,606,592
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9603361 ← → #9603409

Radix Representation

Decimal 9603368
Binary 100100101000100100101000 (24 bits)
Octal 0o44504450
Hexadecimal 0x928928

Divisor Catalog (32)

1 2 4 8 17 34 68 136 241 293 482 586 964 1,172 1,928 2,344 4,097 4,981 8,194 9,962 16,388 19,924 32,776 39,848 70,613 141,226 282,452 564,904 1,200,421 2,400,842 4,801,684 9,603,368

Collatz Trajectory (93 steps to reach 1)

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

9,603,368 4,801,684 2,400,842 1,200,421 3,601,264 1,800,632 900,316 450,158 225,079 675,238 337,619 1,012,858 506,429 1,519,288 759,644 379,822 189,911 569,734 284,867 854,602 427,301 1,281,904 640,952 320,476 160,238 80,119 240,358 120,179 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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