λ
Prime Ledger

4,631,322

2 × 3 × 771887
Abundant Even Composite

4,631,322 has the prime decomposition 2 × 3 × 771887. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 771887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,262,656
Proper Divisor Sum 4,631,334
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4631311 ← → #4631351

Radix Representation

Decimal 4631322
Binary 10001101010101100011010 (23 bits)
Octal 0o21525432
Hexadecimal 0x46AB1A

Divisor Catalog (8)

1 2 3 6 771,887 1,543,774 2,315,661 4,631,322

Collatz Trajectory (48 steps to reach 1)

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

4,631,322 2,315,661 6,946,984 3,473,492 1,736,746 868,373 2,605,120 1,302,560 651,280 325,640 162,820 81,410 40,705 122,116 61,058 30,529 91,588 45,794 22,897 68,692 34,346 17,173 51,520 25,760 12,880 6,440 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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