λ
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Atlas › Integer Profiles › Node 9,538,280

9,538,280

23 × 5 × 389 × 613
Abundant Even Composite

9,538,280 factors as 2^3 × 5 × 389 × 613. Its 32 positive divisors give a proper-divisor sum of 12,013,120, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 389 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,551,400
Proper Divisor Sum 12,013,120
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9538279 ← → #9538283

Radix Representation

Decimal 9538280
Binary 100100011000101011101000 (24 bits)
Octal 0o44305350
Hexadecimal 0x918AE8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 389 613 778 1,226 1,556 1,945 2,452 3,065 3,112 3,890 4,904 6,130 7,780 12,260 15,560 24,520 238,457 476,914 953,828 1,192,285 1,907,656 2,384,570 4,769,140 9,538,280

Collatz Trajectory (119 steps to reach 1)

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

9,538,280 4,769,140 2,384,570 1,192,285 3,576,856 1,788,428 894,214 447,107 1,341,322 670,661 2,011,984 1,005,992 502,996 251,498 125,749 377,248 188,624 94,312 47,156 23,578 11,789 35,368 17,684 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

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