937,732

2² × 67 × 3499

Starting at 937,732, the Collatz iteration reaches 1 after 108 steps. The first transition is 468866; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 67 × 3499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,666,000

Proper Divisor Sum 728,268

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #937721 ← → #937747

Radix Representation

Decimal	937732
Binary	11100100111100000100 (20 bits)
Octal	0o3447404
Hexadecimal	0xE4F04

Divisor Catalog (12)

1 2 4 67 134 268 3,499 6,998 13,996 234,433 468,866 937,732

Collatz Trajectory (108 steps to reach 1)

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

937,732 468,866 234,433 703,300 351,650 175,825 527,476 263,738 131,869 395,608 197,804 98,902 49,451 148,354 74,177 222,532 111,266 55,633 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207 105,622 52,811 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953

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