50,748

2² × 3 × 4229

Starting at 50,748, the Collatz iteration reaches 1 after 57 steps. The first transition is 25374; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 4229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 118,440

Proper Divisor Sum 67,692

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #50741 ← → #50753

Radix Representation

Decimal	50748
Binary	1100011000111100 (16 bits)
Octal	0o143074
Hexadecimal	0xC63C

Divisor Catalog (12)

1 2 3 4 6 12 4,229 8,458 12,687 16,916 25,374 50,748

Collatz Trajectory (57 steps to reach 1)

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

50,748 25,374 12,687 38,062 19,031 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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