λ
Sequence Observatory

58,648

23 × 7331
Deficient Even Composite

Starting at 58,648, the Collatz iteration reaches 1 after 47 steps. The first transition is 29324; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 109,980
Proper Divisor Sum 51,332
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #58631 ← → #58657

Radix Representation

Decimal 58648
Binary 1110010100011000 (16 bits)
Octal 0o162430
Hexadecimal 0xE518

Divisor Catalog (8)

1 2 4 8 7,331 14,662 29,324 58,648

Collatz Trajectory (47 steps to reach 1)

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

58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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