3,808,172

2² × 251 × 3793

Starting at 3,808,172, the Collatz iteration reaches 1 after 141 steps. The first transition is 1904086; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 251 × 3793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,692,616

Proper Divisor Sum 2,884,444

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3808163 ← → #3808177

Radix Representation

Decimal	3808172
Binary	1110100001101110101100 (22 bits)
Octal	0o16415654
Hexadecimal	0x3A1BAC

Divisor Catalog (12)

1 2 4 251 502 1,004 3,793 7,586 15,172 952,043 1,904,086 3,808,172

Collatz Trajectory (141 steps to reach 1)

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

3,808,172 1,904,086 952,043 2,856,130 1,428,065 4,284,196 2,142,098 1,071,049 3,213,148 1,606,574 803,287 2,409,862 1,204,931 3,614,794 1,807,397 5,422,192 2,711,096 1,355,548 677,774 338,887 1,016,662 508,331 1,524,994 762,497 2,287,492 1,143,746 571,873 1,715,620 857,810 428,905 1,286,716 643,358 321,679 965,038 482,519 1,447,558 723,779 2,171,338 1,085,669 3,257,008 1,628,504 814,252 407,126 203,563 610,690 305,345 916,036 458,018 229,009 687,028 343,514 171,757 515,272 257,636 128,818 64,409 193,228 96,614 48,307 144,922

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