20,778

2 × 3 × 3463

Starting at 20,778, the Collatz iteration reaches 1 after 149 steps. The first transition is 10389; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 3463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 41,568

Proper Divisor Sum 20,790

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #20773 ← → #20789

Radix Representation

Decimal	20778
Binary	101000100101010 (15 bits)
Octal	0o50452
Hexadecimal	0x512A

Divisor Catalog (8)

1 2 3 6 3,463 6,926 10,389 20,778

Collatz Trajectory (149 steps to reach 1)

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

20,778 10,389 31,168 15,584 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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