3,949,729

7 × 17 × 33191

Starting at 3,949,729, the Collatz iteration reaches 1 after 291 steps. The first transition is 11849188; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 33191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,779,648

Proper Divisor Sum 829,919

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3949723 ← → #3949733

Radix Representation

Decimal	3949729
Binary	1111000100010010100001 (22 bits)
Octal	0o17042241
Hexadecimal	0x3C44A1

Divisor Catalog (8)

1 7 17 119 33,191 232,337 564,247 3,949,729

Collatz Trajectory (291 steps to reach 1)

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

3,949,729 11,849,188 5,924,594 2,962,297 8,886,892 4,443,446 2,221,723 6,665,170 3,332,585 9,997,756 4,998,878 2,499,439 7,498,318 3,749,159 11,247,478 5,623,739 16,871,218 8,435,609 25,306,828 12,653,414 6,326,707 18,980,122 9,490,061 28,470,184 14,235,092 7,117,546 3,558,773 10,676,320 5,338,160 2,669,080 1,334,540 667,270 333,635 1,000,906 500,453 1,501,360 750,680 375,340 187,670 93,835 281,506 140,753 422,260 211,130 105,565 316,696 158,348 79,174 39,587 118,762 59,381 178,144 89,072 44,536 22,268 11,134 5,567 16,702 8,351 25,054

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