λ
Prime Ledger

8,629,456

24 × 11 × 49031
Abundant Even Composite

8,629,456 has the prime decomposition 2^4 × 11 × 49031. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 49031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,239,904
Proper Divisor Sum 9,610,448
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8629447 ← → #8629483

Radix Representation

Decimal 8629456
Binary 100000111010110011010000 (24 bits)
Octal 0o40726320
Hexadecimal 0x83ACD0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 49,031 98,062 196,124 392,248 539,341 784,496 1,078,682 2,157,364 4,314,728 8,629,456

Collatz Trajectory (137 steps to reach 1)

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

8,629,456 4,314,728 2,157,364 1,078,682 539,341 1,618,024 809,012 404,506 202,253 606,760 303,380 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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