4,005,124

2² × 19 × 151 × 349

Starting at 4,005,124, the Collatz iteration reaches 1 after 154 steps. The first transition is 2002562; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 151 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,448,000

Proper Divisor Sum 3,442,876

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4005121 ← → #4005137

Radix Representation

Decimal	4005124
Binary	1111010001110100000100 (22 bits)
Octal	0o17216404
Hexadecimal	0x3D1D04

Divisor Catalog (24)

1 2 4 19 38 76 151 302 349 604 698 1,396 2,869 5,738 6,631 11,476 13,262 26,524 52,699 105,398 210,796 1,001,281 2,002,562 4,005,124

Collatz Trajectory (154 steps to reach 1)

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

4,005,124 2,002,562 1,001,281 3,003,844 1,501,922 750,961 2,252,884 1,126,442 563,221 1,689,664 844,832 422,416 211,208 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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