λ
Prime Ledger

243,944

23 × 30493
Deficient Even Composite

243,944 has the prime decomposition 2^3 × 30493. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 30493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 457,410
Proper Divisor Sum 213,466
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #243931 ← → #243953

Radix Representation

Decimal 243944
Binary 111011100011101000 (18 bits)
Octal 0o734350
Hexadecimal 0x3B8E8

Divisor Catalog (8)

1 2 4 8 30,493 60,986 121,972 243,944

Collatz Trajectory (75 steps to reach 1)

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

243,944 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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