1,800,528

2⁴ × 3 × 37511

1,800,528 factors as 2^4 × 3 × 37511. Its 20 positive divisors give a proper-divisor sum of 2,850,960, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 37511

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,651,488

Proper Divisor Sum 2,850,960

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1800499 ← → #1800529

Radix Representation

Decimal	1800528
Binary	110110111100101010000 (21 bits)
Octal	0o6674520
Hexadecimal	0x1B7950

Divisor Catalog (20)

Collatz Trajectory (114 steps to reach 1)

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

1,800,528 900,264 450,132 225,066 112,533 337,600 168,800 84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319

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