383,636

2² × 11 × 8719

Starting at 383,636, the Collatz iteration reaches 1 after 148 steps. The first transition is 191818; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 8719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 732,480

Proper Divisor Sum 348,844

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #383633 ← → #383651

Radix Representation

Decimal	383636
Binary	1011101101010010100 (19 bits)
Octal	0o1355224
Hexadecimal	0x5DA94

Divisor Catalog (12)

1 2 4 11 22 44 8,719 17,438 34,876 95,909 191,818 383,636

Collatz Trajectory (148 steps to reach 1)

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

383,636 191,818 95,909 287,728 143,864 71,932 35,966 17,983 53,950 26,975 80,926 40,463 121,390 60,695 182,086 91,043 273,130 136,565 409,696 204,848 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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