λ
Prime Ledger

424,428

22 × 3 × 113 × 313
Abundant Even Composite

424,428 has the prime decomposition 2^2 × 3 × 113 × 313. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,002,288
Proper Divisor Sum 577,860
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #424423 ← → #424429

Radix Representation

Decimal 424428
Binary 1100111100111101100 (19 bits)
Octal 0o1474754
Hexadecimal 0x679EC

Divisor Catalog (24)

1 2 3 4 6 12 113 226 313 339 452 626 678 939 1,252 1,356 1,878 3,756 35,369 70,738 106,107 141,476 212,214 424,428

Collatz Trajectory (143 steps to reach 1)

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

424,428 212,214 106,107 318,322 159,161 477,484 238,742 119,371 358,114 179,057 537,172 268,586 134,293 402,880 201,440 100,720 50,360 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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