λ
Sequence Observatory

15,628

22 × 3907
Deficient Even Composite

Starting at 15,628, the Collatz iteration reaches 1 after 40 steps. The first transition is 7814; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 27,356
Proper Divisor Sum 11,728
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15619 ← → #15629

Radix Representation

Decimal 15628
Binary 11110100001100 (14 bits)
Octal 0o36414
Hexadecimal 0x3D0C

Divisor Catalog (6)

1 2 4 3,907 7,814 15,628

Collatz Trajectory (40 steps to reach 1)

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

15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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