41,936

2⁴ × 2621

Starting at 41,936, the Collatz iteration reaches 1 after 150 steps. The first transition is 20968; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 2621

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 81,282

Proper Divisor Sum 39,346

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #41927 ← → #41941

Radix Representation

Decimal	41936
Binary	1010001111010000 (16 bits)
Octal	0o121720
Hexadecimal	0xA3D0

Divisor Catalog (10)

1 2 4 8 16 2,621 5,242 10,484 20,968 41,936

Collatz Trajectory (150 steps to reach 1)

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

41,936 20,968 10,484 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 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 71 214 107 322 161 484 242 121 364 182 91 274

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