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Atlas › Integer Profiles › Node 4,644,136

4,644,136

23 × 7 × 127 × 653
Abundant Even Composite

4,644,136 factors as 2^3 × 7 × 127 × 653. Its 32 positive divisors give a proper-divisor sum of 5,401,304, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 127 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,045,440
Proper Divisor Sum 5,401,304
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4644131 ← → #4644139

Radix Representation

Decimal 4644136
Binary 10001101101110100101000 (23 bits)
Octal 0o21556450
Hexadecimal 0x46DD28

Divisor Catalog (32)

1 2 4 7 8 14 28 56 127 254 508 653 889 1,016 1,306 1,778 2,612 3,556 4,571 5,224 7,112 9,142 18,284 36,568 82,931 165,862 331,724 580,517 663,448 1,161,034 2,322,068 4,644,136

Collatz Trajectory (193 steps to reach 1)

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

4,644,136 2,322,068 1,161,034 580,517 1,741,552 870,776 435,388 217,694 108,847 326,542 163,271 489,814 244,907 734,722 367,361 1,102,084 551,042 275,521 826,564 413,282 206,641 619,924 309,962 154,981 464,944 232,472 116,236 58,118 29,059 87,178 43,589 130,768 65,384 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482

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