λ
Prime Ledger

4,610,646

2 × 32 × 256147
Abundant Even Composite

4,610,646 has the prime decomposition 2 × 3^2 × 256147. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 256147
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,989,772
Proper Divisor Sum 5,379,126
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4610633 ← → #4610651

Radix Representation

Decimal 4610646
Binary 10001100101101001010110 (23 bits)
Octal 0o21455126
Hexadecimal 0x465A56

Divisor Catalog (12)

1 2 3 6 9 18 256,147 512,294 768,441 1,536,882 2,305,323 4,610,646

Collatz Trajectory (149 steps to reach 1)

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

4,610,646 2,305,323 6,915,970 3,457,985 10,373,956 5,186,978 2,593,489 7,780,468 3,890,234 1,945,117 5,835,352 2,917,676 1,458,838 729,419 2,188,258 1,094,129 3,282,388 1,641,194 820,597 2,461,792 1,230,896 615,448 307,724 153,862 76,931 230,794 115,397 346,192 173,096 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137

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