λ
Prime Ledger

651,978

2 × 32 × 29 × 1249
Abundant Even Composite

651,978 has the prime decomposition 2 × 3^2 × 29 × 1249. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,462,500
Proper Divisor Sum 810,522
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #651971 ← → #651997

Radix Representation

Decimal 651978
Binary 10011111001011001010 (20 bits)
Octal 0o2371312
Hexadecimal 0x9F2CA

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (154 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

651,978 325,989 977,968 488,984 244,492

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