3,781,377

3³ × 43 × 3257

Starting at 3,781,377, the Collatz iteration reaches 1 after 110 steps. The first transition is 11344132; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 43 × 3257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,734,080

Proper Divisor Sum 1,952,703

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3781367 ← → #3781387

Radix Representation

Decimal	3781377
Binary	1110011011001100000001 (22 bits)
Octal	0o16331401
Hexadecimal	0x39B301

Divisor Catalog (16)

1 3 9 27 43 129 387 1,161 3,257 9,771 29,313 87,939 140,051 420,153 1,260,459 3,781,377

Collatz Trajectory (110 steps to reach 1)

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

3,781,377 11,344,132 5,672,066 2,836,033 8,508,100 4,254,050 2,127,025 6,381,076 3,190,538 1,595,269 4,785,808 2,392,904 1,196,452 598,226 299,113 897,340 448,670 224,335 673,006 336,503 1,009,510 504,755 1,514,266 757,133 2,271,400 1,135,700 567,850 283,925 851,776 425,888 212,944 106,472 53,236 26,618 13,309 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989

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