λ
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7,588,928

26 × 283 × 419
Deficient Even Composite

7,588,928 factors as 2^6 × 283 × 419. Its 28 positive divisors give a proper-divisor sum of 7,559,632, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^6 × 283 × 419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 15,148,560
Proper Divisor Sum 7,559,632
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7588927 ← → #7588951

Radix Representation

Decimal 7588928
Binary 11100111100110001000000 (23 bits)
Octal 0o34746100
Hexadecimal 0x73CC40

Divisor Catalog (28)

1 2 4 8 16 32 64 283 419 566 838 1,132 1,676 2,264 3,352 4,528 6,704 9,056 13,408 18,112 26,816 118,577 237,154 474,308 948,616 1,897,232 3,794,464 7,588,928

Collatz Trajectory (173 steps to reach 1)

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

7,588,928 3,794,464 1,897,232 948,616 474,308 237,154 118,577 355,732 177,866 88,933 266,800 133,400 66,700 33,350 16,675 50,026 25,013 75,040 37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

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