672,386

2 × 11 × 13 × 2351

Starting at 672,386, the Collatz iteration reaches 1 after 154 steps. The first transition is 336193; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 2351

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,185,408

Proper Divisor Sum 513,022

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #672379 ← → #672439

Radix Representation

Decimal	672386
Binary	10100100001010000010 (20 bits)
Octal	0o2441202
Hexadecimal	0xA4282

Divisor Catalog (16)

1 2 11 13 22 26 143 286 2,351 4,702 25,861 30,563 51,722 61,126 336,193 672,386

Collatz Trajectory (154 steps to reach 1)

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

672,386 336,193 1,008,580 504,290 252,145 756,436 378,218 189,109 567,328 283,664 141,832 70,916 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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