8,057,752

2³ × 773 × 1303

8,057,752 factors as 2^3 × 773 × 1303. Its 16 positive divisors give a proper-divisor sum of 7,081,688, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 773 × 1303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,139,440

Proper Divisor Sum 7,081,688

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8057747 ← → #8057761

Radix Representation

Decimal	8057752
Binary	11110101111001110011000 (23 bits)
Octal	0o36571630
Hexadecimal	0x7AF398

Divisor Catalog (16)

1 2 4 8 773 1,303 1,546 2,606 3,092 5,212 6,184 10,424 1,007,219 2,014,438 4,028,876 8,057,752

Collatz Trajectory (62 steps to reach 1)

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

8,057,752 4,028,876 2,014,438 1,007,219 3,021,658 1,510,829 4,532,488 2,266,244 1,133,122 566,561 1,699,684 849,842 424,921 1,274,764 637,382 318,691 956,074 478,037 1,434,112 717,056 358,528 179,264 89,632 44,816 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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