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Atlas › Integer Profiles › Node 4,329,136

4,329,136

24 × 7 × 38653
Abundant Even Composite

4,329,136 factors as 2^4 × 7 × 38653. Its 20 positive divisors give a proper-divisor sum of 5,257,056, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 38653
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,586,192
Proper Divisor Sum 5,257,056
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4329107 ← → #4329137

Radix Representation

Decimal 4329136
Binary 10000100000111010110000 (23 bits)
Octal 0o20407260
Hexadecimal 0x420EB0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 38,653 77,306 154,612 270,571 309,224 541,142 618,448 1,082,284 2,164,568 4,329,136

Collatz Trajectory (180 steps to reach 1)

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

4,329,136 2,164,568 1,082,284 541,142 270,571 811,714 405,857 1,217,572 608,786 304,393 913,180 456,590 228,295 684,886 342,443 1,027,330 513,665 1,540,996 770,498 385,249 1,155,748 577,874 288,937 866,812 433,406 216,703 650,110 325,055 975,166 487,583 1,462,750 731,375 2,194,126 1,097,063 3,291,190 1,645,595 4,936,786 2,468,393 7,405,180 3,702,590 1,851,295 5,553,886 2,776,943 8,330,830 4,165,415 12,496,246 6,248,123 18,744,370 9,372,185 28,116,556 14,058,278 7,029,139 21,087,418 10,543,709 31,631,128 15,815,564 7,907,782 3,953,891 11,861,674 5,930,837

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