λ
Sigma Notebook

1,677,432

23 × 3 × 37 × 1889
Abundant Even Composite

1,677,432 is even and not a perfect square. Its factorization is 2^3 × 3 × 37 × 1889 and its 32 divisors sum to 4,309,200.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 1889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,309,200
Proper Divisor Sum 2,631,768
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1677359 ← → #1677443

Radix Representation

Decimal 1677432
Binary 110011001100001111000 (21 bits)
Octal 0o6314170
Hexadecimal 0x199878

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1,889 3,778 5,667 7,556 11,334 15,112 22,668 45,336 69,893 139,786 209,679 279,572 419,358 559,144 838,716 1,677,432

Collatz Trajectory (57 steps to reach 1)

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

1,677,432 838,716 419,358 209,679 629,038 314,519 943,558 471,779 1,415,338 707,669 2,123,008 1,061,504 530,752 265,376 132,688 66,344 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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