λ
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Atlas › Integer Profiles › Node 6,001,024

6,001,024

27 × 173 × 271
Abundant Even Composite

6,001,024 factors as 2^7 × 173 × 271. Its 32 positive divisors give a proper-divisor sum of 6,067,616, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^7 × 173 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,068,640
Proper Divisor Sum 6,067,616
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6001019 ← → #6001033

Radix Representation

Decimal 6001024
Binary 10110111001000110000000 (23 bits)
Octal 0o26710600
Hexadecimal 0x5B9180

Divisor Catalog (32)

1 2 4 8 16 32 64 128 173 271 346 542 692 1,084 1,384 2,168 2,768 4,336 5,536 8,672 11,072 17,344 22,144 34,688 46,883 93,766 187,532 375,064 750,128 1,500,256 3,000,512 6,001,024

Collatz Trajectory (139 steps to reach 1)

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

6,001,024 3,000,512 1,500,256 750,128 375,064 187,532 93,766 46,883 140,650 70,325 210,976 105,488 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

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