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6,483,584

27 × 373
Abundant Even Composite

6,483,584 factors as 2^7 × 37^3. Its 32 positive divisors give a proper-divisor sum of 6,791,716, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^7 × 37^3
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,275,300
Proper Divisor Sum 6,791,716
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6483563 ← → #6483593

Radix Representation

Decimal 6483584
Binary 11000101110111010000000 (23 bits)
Octal 0o30567200
Hexadecimal 0x62EE80

Divisor Catalog (32)

1 2 4 8 16 32 37 64 74 128 148 296 592 1,184 1,369 2,368 2,738 4,736 5,476 10,952 21,904 43,808 50,653 87,616 101,306 175,232 202,612 405,224 810,448 1,620,896 3,241,792 6,483,584

Collatz Trajectory (64 steps to reach 1)

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

6,483,584 3,241,792 1,620,896 810,448 405,224 202,612 101,306 50,653 151,960 75,980 37,990 18,995 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32

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