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Atlas › Integer Profiles › Node 32,030,478

32,030,478

2 × 34 × 163 × 1213
Abundant Even Composite

32,030,478 factors as 2 × 3^4 × 163 × 1213. Its 40 positive divisors give a proper-divisor sum of 40,241,370, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 163 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 72,271,848
Proper Divisor Sum 40,241,370
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32030461 ← → #32030483

Radix Representation

Decimal 32030478
Binary 1111010001011111100001110 (25 bits)
Octal 0o172137416
Hexadecimal 0x1E8BF0E

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 163 326 489 978 1,213 1,467 2,426 2,934 3,639 4,401 7,278 8,802 10,917 13,203 21,834 26,406 32,751 65,502 98,253 196,506 197,719 395,438 593,157 1,186,314 1,779,471 3,558,942 5,338,413 10,676,826 16,015,239 32,030,478

Collatz Trajectory (144 steps to reach 1)

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

32,030,478 16,015,239 48,045,718 24,022,859 72,068,578 36,034,289 108,102,868 54,051,434 27,025,717 81,077,152 40,538,576 20,269,288 10,134,644 5,067,322 2,533,661 7,600,984 3,800,492 1,900,246 950,123 2,850,370 1,425,185 4,275,556 2,137,778 1,068,889 3,206,668 1,603,334 801,667 2,405,002 1,202,501 3,607,504 1,803,752 901,876 450,938 225,469 676,408 338,204 169,102 84,551 253,654 126,827 380,482 190,241 570,724 285,362 142,681 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860

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