λ
Sigma Notebook

1,800,672

25 × 3 × 18757
Abundant Even Composite

1,800,672 is even and not a perfect square. Its factorization is 2^5 × 3 × 18757 and its 24 divisors sum to 4,727,016.

Prime Factor Structure

Factorization String 2^5 × 3 × 18757
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,727,016
Proper Divisor Sum 2,926,344
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1800641 ← → #1800677

Radix Representation

Decimal 1800672
Binary 110110111100111100000 (21 bits)
Octal 0o6674740
Hexadecimal 0x1B79E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 18,757 37,514 56,271 75,028 112,542 150,056 225,084 300,112 450,168 600,224 900,336 1,800,672

Collatz Trajectory (88 steps to reach 1)

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

1,800,672 900,336 450,168 225,084 112,542 56,271 168,814 84,407 253,222 126,611 379,834 189,917 569,752 284,876 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907

More profiles

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