λ
Sequence Observatory

58,836

22 × 3 × 4903
Abundant Even Composite

Starting at 58,836, the Collatz iteration reaches 1 after 135 steps. The first transition is 29418; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 4903
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 137,312
Proper Divisor Sum 78,476
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #58831 ← → #58889

Radix Representation

Decimal 58836
Binary 1110010111010100 (16 bits)
Octal 0o162724
Hexadecimal 0xE5D4

Divisor Catalog (12)

1 2 3 4 6 12 4,903 9,806 14,709 19,612 29,418 58,836

Collatz Trajectory (135 steps to reach 1)

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

58,836 29,418 14,709 44,128 22,064 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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