λ
Integer Codex

1,800,948

22 × 3 × 223 × 673
Abundant Even Composite

For 1,800,948, the 24 positive divisors have a total of 4,227,328. Removing 1,800,948 leaves 2,426,380, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 223 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,227,328
Proper Divisor Sum 2,426,380
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1800937 ← → #1800949

Radix Representation

Decimal 1800948
Binary 110110111101011110100 (21 bits)
Octal 0o6675364
Hexadecimal 0x1B7AF4

Divisor Catalog (24)

1 2 3 4 6 12 223 446 669 673 892 1,338 1,346 2,019 2,676 2,692 4,038 8,076 150,079 300,158 450,237 600,316 900,474 1,800,948

Collatz Trajectory (114 steps to reach 1)

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

1,800,948 900,474 450,237 1,350,712 675,356 337,678 168,839 506,518 253,259 759,778 379,889 1,139,668 569,834 284,917 854,752 427,376 213,688 106,844 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 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

More profiles

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