λ
Prime Ledger

7,973,126

2 × 7 × 137 × 4157
Deficient Even Composite

7,973,126 has the prime decomposition 2 × 7 × 137 × 4157. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 2 × 7 × 137 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,771,296
Proper Divisor Sum 5,798,170
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7973123 ← → #7973129

Radix Representation

Decimal 7973126
Binary 11110011010100100000110 (23 bits)
Octal 0o36324406
Hexadecimal 0x79A906

Divisor Catalog (5 of 16)

1 2 7 14 137

Collatz Trajectory (230 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.

7,973,126 3,986,563 11,959,690 5,979,845 17,939,536

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