λ
Prime Ledger

421,826

2 × 210913
Deficient Even Composite

421,826 has the prime decomposition 2 × 210913. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 210913
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 632,742
Proper Divisor Sum 210,916
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #421807 ← → #421831

Radix Representation

Decimal 421826
Binary 1100110111111000010 (19 bits)
Octal 0o1467702
Hexadecimal 0x66FC2

Divisor Catalog (4)

1 2 210,913 421,826

Collatz Trajectory (130 steps to reach 1)

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

421,826 210,913 632,740 316,370 158,185 474,556 237,278 118,639 355,918 177,959 533,878 266,939 800,818 400,409 1,201,228 600,614 300,307 900,922 450,461 1,351,384 675,692 337,846 168,923 506,770 253,385 760,156 380,078 190,039 570,118 285,059 855,178 427,589 1,282,768 641,384 320,692 160,346 80,173 240,520 120,260 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680

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