3,823,127

7² × 11 × 41 × 173

Starting at 3,823,127, the Collatz iteration reaches 1 after 203 steps. The first transition is 11469382; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 41 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,998,672

Proper Divisor Sum 1,175,545

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3823117 ← → #3823139

Radix Representation

Decimal	3823127
Binary	1110100101011000010111 (22 bits)
Octal	0o16453027
Hexadecimal	0x3A5617

Divisor Catalog (24)

1 7 11 41 49 77 173 287 451 539 1,211 1,903 2,009 3,157 7,093 8,477 13,321 22,099 49,651 78,023 93,247 347,557 546,161 3,823,127

Collatz Trajectory (203 steps to reach 1)

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

3,823,127 11,469,382 5,734,691 17,204,074 8,602,037 25,806,112 12,903,056 6,451,528 3,225,764 1,612,882 806,441 2,419,324 1,209,662 604,831 1,814,494 907,247 2,721,742 1,360,871 4,082,614 2,041,307 6,123,922 3,061,961 9,185,884 4,592,942 2,296,471 6,889,414 3,444,707 10,334,122 5,167,061 15,501,184 7,750,592 3,875,296 1,937,648 968,824 484,412 242,206 121,103 363,310 181,655 544,966 272,483 817,450 408,725 1,226,176 613,088 306,544 153,272 76,636 38,318 19,159 57,478 28,739 86,218 43,109 129,328 64,664 32,332 16,166 8,083 24,250

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