λ
Prime Ledger

5,718,432

25 × 3 × 59567
Abundant Even Composite

5,718,432 has the prime decomposition 2^5 × 3 × 59567. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 59567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,011,136
Proper Divisor Sum 9,292,704
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5718431 ← → #5718437

Radix Representation

Decimal 5718432
Binary 10101110100000110100000 (23 bits)
Octal 0o25640640
Hexadecimal 0x5741A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 59,567 119,134 178,701 238,268 357,402 476,536 714,804 953,072 1,429,608 1,906,144 2,859,216 5,718,432

Collatz Trajectory (139 steps to reach 1)

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

5,718,432 2,859,216 1,429,608 714,804 357,402 178,701 536,104 268,052 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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