8,074,672

2⁴ × 504667

8,074,672 factors as 2^4 × 504667. Its 10 positive divisors give a proper-divisor sum of 7,570,036, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 504667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,644,708

Proper Divisor Sum 7,570,036

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8074657 ← → #8074687

Radix Representation

Decimal	8074672
Binary	11110110011010110110000 (23 bits)
Octal	0o36632660
Hexadecimal	0x7B35B0

Divisor Catalog (10)

1 2 4 8 16 504,667 1,009,334 2,018,668 4,037,336 8,074,672

Collatz Trajectory (124 steps to reach 1)

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

8,074,672 4,037,336 2,018,668 1,009,334 504,667 1,514,002 757,001 2,271,004 1,135,502 567,751 1,703,254 851,627 2,554,882 1,277,441 3,832,324 1,916,162 958,081 2,874,244 1,437,122 718,561 2,155,684 1,077,842 538,921 1,616,764 808,382 404,191 1,212,574 606,287 1,818,862 909,431 2,728,294 1,364,147 4,092,442 2,046,221 6,138,664 3,069,332 1,534,666 767,333 2,302,000 1,151,000 575,500 287,750 143,875 431,626 215,813 647,440 323,720 161,860 80,930 40,465 121,396 60,698 30,349 91,048 45,524 22,762 11,381 34,144 17,072 8,536

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