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Atlas › Integer Profiles › Node 4,429,944

4,429,944

23 × 33 × 20509
Abundant Even Composite

4,429,944 factors as 2^3 × 3^3 × 20509. Its 32 positive divisors give a proper-divisor sum of 7,876,056, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 20509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,306,000
Proper Divisor Sum 7,876,056
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4429937 ← → #4429963

Radix Representation

Decimal 4429944
Binary 10000111001100001111000 (23 bits)
Octal 0o20714170
Hexadecimal 0x439878

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 20,509 41,018 61,527 82,036 123,054 164,072 184,581 246,108 369,162 492,216 553,743 738,324 1,107,486 1,476,648 2,214,972 4,429,944

Collatz Trajectory (61 steps to reach 1)

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

4,429,944 2,214,972 1,107,486 553,743 1,661,230 830,615 2,491,846 1,245,923 3,737,770 1,868,885 5,606,656 2,803,328 1,401,664 700,832 350,416 175,208 87,604 43,802 21,901 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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