3,777,944

2³ × 17 × 27779

Starting at 3,777,944, the Collatz iteration reaches 1 after 154 steps. The first transition is 1888972; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 27779

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,500,600

Proper Divisor Sum 3,722,656

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3777931 ← → #3777953

Radix Representation

Decimal	3777944
Binary	1110011010010110011000 (22 bits)
Octal	0o16322630
Hexadecimal	0x39A598

Divisor Catalog (16)

1 2 4 8 17 34 68 136 27,779 55,558 111,116 222,232 472,243 944,486 1,888,972 3,777,944

Collatz Trajectory (154 steps to reach 1)

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

3,777,944 1,888,972 944,486 472,243 1,416,730 708,365 2,125,096 1,062,548 531,274 265,637 796,912 398,456 199,228 99,614 49,807 149,422 74,711 224,134 112,067 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782

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