λ
Prime Ledger

7,970,427

33 × 295201
Deficient Odd Composite

7,970,427 has the prime decomposition 3^3 × 295201. Its 2 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 295201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,808,080
Proper Divisor Sum 3,837,653
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7970377 ← → #7970471

Radix Representation

Decimal 7970427
Binary 11110011001111001111011 (23 bits)
Octal 0o36317173
Hexadecimal 0x799E7B

Divisor Catalog (5 of 8)

1 3 9 27 295,201

Collatz Trajectory (292 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.

7,970,427 23,911,282 11,955,641 35,866,924 17,933,462

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