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3,000,488

23 × 232 × 709
Deficient Even Composite

3,000,488 factors as 2^3 × 23^2 × 709. Its 24 positive divisors give a proper-divisor sum of 2,888,962, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 23^2 × 709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,889,450
Proper Divisor Sum 2,888,962
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3000479 ← → #3000523

Radix Representation

Decimal 3000488
Binary 1011011100100010101000 (22 bits)
Octal 0o13344250
Hexadecimal 0x2DC8A8

Divisor Catalog (24)

1 2 4 8 23 46 92 184 529 709 1,058 1,418 2,116 2,836 4,232 5,672 16,307 32,614 65,228 130,456 375,061 750,122 1,500,244 3,000,488

Collatz Trajectory (138 steps to reach 1)

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

3,000,488 1,500,244 750,122 375,061 1,125,184 562,592 281,296 140,648 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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