8,002,752

2⁶ × 3 × 41681

8,002,752 is even and not a perfect square. Its factorization is 2^6 × 3 × 41681 and its 28 divisors sum to 21,174,456.

Prime Factor Structure

Factorization String 2^6 × 3 × 41681

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 21,174,456

Proper Divisor Sum 13,171,704

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8002751 ← → #8002759

Radix Representation

Decimal	8002752
Binary	11110100001110011000000 (23 bits)
Octal	0o36416300
Hexadecimal	0x7A1CC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 41,681 83,362 125,043 166,724 250,086 333,448 500,172 666,896 1,000,344 1,333,792 2,000,688 2,667,584 4,001,376 8,002,752

Collatz Trajectory (142 steps to reach 1)

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

8,002,752 4,001,376 2,000,688 1,000,344 500,172 250,086 125,043 375,130 187,565 562,696 281,348 140,674 70,337 211,012 105,506 52,753 158,260 79,130 39,565 118,696 59,348 29,674 14,837 44,512 22,256 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

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