3,832,768

2⁶ × 59887

Starting at 3,832,768, the Collatz iteration reaches 1 after 216 steps. The first transition is 1916384; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 59887

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 7,605,776

Proper Divisor Sum 3,773,008

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3832757 ← → #3832783

Radix Representation

Decimal	3832768
Binary	1110100111101111000000 (22 bits)
Octal	0o16475700
Hexadecimal	0x3A7BC0

Divisor Catalog (14)

1 2 4 8 16 32 64 59,887 119,774 239,548 479,096 958,192 1,916,384 3,832,768

Collatz Trajectory (216 steps to reach 1)

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

3,832,768 1,916,384 958,192 479,096 239,548 119,774 59,887 179,662 89,831 269,494 134,747 404,242 202,121 606,364 303,182 151,591 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894 71,947 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706 30,353 91,060 45,530 22,765 68,296 34,148 17,074 8,537 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054

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