λ
Sequence Observatory

8,322,357

3 × 313 × 8863
Deficient Odd Composite

Starting at 8,322,357, the Collatz iteration reaches 1 after 137 steps. The first transition is 24967072; the starting value is odd with 8 positive divisors.

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Prime Factor Structure

Factorization String 3 × 313 × 8863
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,133,184
Proper Divisor Sum 2,810,827
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8322341 ← → #8322359

Radix Representation

Decimal 8322357
Binary 11111101111110100110101 (23 bits)
Octal 0o37576465
Hexadecimal 0x7EFD35

Divisor Catalog (5 of 8)

1 3 313 939 8,863

Collatz Trajectory (137 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.

8,322,357 24,967,072 12,483,536 6,241,768 3,120,884

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