1,600,123

7 × 19 × 53 × 227

1,600,123 factors as 7 × 19 × 53 × 227. Its 16 positive divisors give a proper-divisor sum of 369,797, so this integer is deficient. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 7 × 19 × 53 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,969,920

Proper Divisor Sum 369,797

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1600121 ← → #1600141

Radix Representation

Decimal	1600123
Binary	110000110101001111011 (21 bits)
Octal	0o6065173
Hexadecimal	0x186A7B

Divisor Catalog (16)

1 7 19 53 133 227 371 1,007 1,589 4,313 7,049 12,031 30,191 84,217 228,589 1,600,123

Collatz Trajectory (57 steps to reach 1)

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

1,600,123 4,800,370 2,400,185 7,200,556 3,600,278 1,800,139 5,400,418 2,700,209 8,100,628 4,050,314 2,025,157 6,075,472 3,037,736 1,518,868 759,434 379,717 1,139,152 569,576 284,788 142,394 71,197 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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