8,131,792

2⁴ × 508237

8,131,792 factors as 2^4 × 508237. Its 10 positive divisors give a proper-divisor sum of 7,623,586, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 508237

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,755,378

Proper Divisor Sum 7,623,586

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8131777 ← → #8131807

Radix Representation

Decimal	8131792
Binary	11111000001010011010000 (23 bits)
Octal	0o37012320
Hexadecimal	0x7C14D0

Divisor Catalog (10)

1 2 4 8 16 508,237 1,016,474 2,032,948 4,065,896 8,131,792

Collatz Trajectory (85 steps to reach 1)

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

8,131,792 4,065,896 2,032,948 1,016,474 508,237 1,524,712 762,356 381,178 190,589 571,768 285,884 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433

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