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Atlas › Integer Profiles › Node 4,516,338

4,516,338

2 × 3 × 19 × 173 × 229
Abundant Even Composite

4,516,338 factors as 2 × 3 × 19 × 173 × 229. Its 32 positive divisors give a proper-divisor sum of 5,088,462, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 173 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,604,800
Proper Divisor Sum 5,088,462
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4516327 ← → #4516367

Radix Representation

Decimal 4516338
Binary 10001001110100111110010 (23 bits)
Octal 0o21164762
Hexadecimal 0x44E9F2

Divisor Catalog (32)

1 2 3 6 19 38 57 114 173 229 346 458 519 687 1,038 1,374 3,287 4,351 6,574 8,702 9,861 13,053 19,722 26,106 39,617 79,234 118,851 237,702 752,723 1,505,446 2,258,169 4,516,338

Collatz Trajectory (193 steps to reach 1)

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

4,516,338 2,258,169 6,774,508 3,387,254 1,693,627 5,080,882 2,540,441 7,621,324 3,810,662 1,905,331 5,715,994 2,857,997 8,573,992 4,286,996 2,143,498 1,071,749 3,215,248 1,607,624 803,812 401,906 200,953 602,860 301,430 150,715 452,146 226,073 678,220 339,110 169,555 508,666 254,333 763,000 381,500 190,750 95,375 286,126 143,063 429,190 214,595 643,786 321,893 965,680 482,840 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950 16,975 50,926 25,463 76,390 38,195 114,586 57,293 171,880

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