λ
Prime Ledger

437,921

11 × 41 × 971
Deficient Odd Composite

437,921 has the prime decomposition 11 × 41 × 971. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 41 × 971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 489,888
Proper Divisor Sum 51,967
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #437909 ← → #437923

Radix Representation

Decimal 437921
Binary 1101010111010100001 (19 bits)
Octal 0o1527241
Hexadecimal 0x6AEA1

Divisor Catalog (8)

1 11 41 451 971 10,681 39,811 437,921

Collatz Trajectory (68 steps to reach 1)

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

437,921 1,313,764 656,882 328,441 985,324 492,662 246,331 738,994 369,497 1,108,492 554,246 277,123 831,370 415,685 1,247,056 623,528 311,764 155,882 77,941 233,824 116,912 58,456 29,228 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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