3,832,832

2¹⁰ × 19 × 197

Starting at 3,832,832, the Collatz iteration reaches 1 after 79 steps. The first transition is 1916416; the starting value is even with 44 positive divisors.

Prime Factor Structure

Factorization String 2^10 × 19 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 44

Divisor Sum (σ) 8,106,120

Proper Divisor Sum 4,273,288

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3832831 ← → #3832853

Radix Representation

Decimal	3832832
Binary	1110100111110000000000 (22 bits)
Octal	0o16476000
Hexadecimal	0x3A7C00

Divisor Catalog (44)

1 2 4 8 16 19 32 38 64 76 128 152 197 256 304 394 512 608 788 1,024 1,216 1,576 2,432 3,152 3,743 4,864 6,304 7,486 9,728 12,608 14,972 19,456 25,216 29,944 50,432 59,888 100,864 119,776 201,728 239,552 479,104 958,208 1,916,416 3,832,832

Collatz Trajectory (79 steps to reach 1)

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

3,832,832 1,916,416 958,208 479,104 239,552 119,776 59,888 29,944 14,972 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19

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