λ
Sequence Observatory

7,685,307

33 × 72 × 37 × 157
Deficient Odd Composite

Starting at 7,685,307, the Collatz iteration reaches 1 after 124 steps. The first transition is 23055922; the starting value is odd with 48 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 7^2 × 37 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,689,120
Proper Divisor Sum 6,003,813
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7685297 ← → #7685341

Radix Representation

Decimal 7685307
Binary 11101010100010010111011 (23 bits)
Octal 0o35242273
Hexadecimal 0x7544BB

Divisor Catalog (5 of 48)

1 3 7 9 21

Collatz Trajectory (124 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.

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