λ
Ratio Atlas

9,972,007

9972007
Deficient Odd Prime

9,972,007 factors as 9972007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 9972007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,972,008
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9971993 ← → #9972023

Radix Representation

Decimal 9972007
Binary 100110000010100100100111 (24 bits)
Octal 0o46024447
Hexadecimal 0x982927

Divisor Catalog (2)

Collatz Trajectory (189 steps to reach 1)

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

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