λ
Sequence Observatory

7,336,767

3 × 37 × 157 × 421
Deficient Odd Composite

Starting at 7,336,767, the Collatz iteration reaches 1 after 111 steps. The first transition is 22010302; the starting value is odd with 16 positive divisors.

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Prime Factor Structure

Factorization String 3 × 37 × 157 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,134,752
Proper Divisor Sum 2,797,985
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7336759 ← → #7336781

Radix Representation

Decimal 7336767
Binary 11011111111001100111111 (23 bits)
Octal 0o33771477
Hexadecimal 0x6FF33F

Divisor Catalog (5 of 16)

1 3 37 111 157

Collatz Trajectory (111 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.

7,336,767 22,010,302 11,005,151 33,015,454 16,507,727

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