λ
Prime Ledger

7,506,142

2 × 7 × 23 × 23311
Deficient Even Composite

7,506,142 has the prime decomposition 2 × 7 × 23 × 23311. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2 × 7 × 23 × 23311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,427,712
Proper Divisor Sum 5,921,570
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7506137 ← → #7506143

Radix Representation

Decimal 7506142
Binary 11100101000100011011110 (23 bits)
Octal 0o34504336
Hexadecimal 0x7288DE

Divisor Catalog (5 of 16)

1 2 7 14 23

Collatz Trajectory (80 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.

7,506,142 3,753,071 11,259,214 5,629,607 16,888,822

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