3,966,747

3 × 59 × 73 × 307

3,966,747 factors as 3 × 59 × 73 × 307. Its 16 positive divisors give a proper-divisor sum of 1,503,333, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 59 × 73 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,470,080

Proper Divisor Sum 1,503,333

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3966727 ← → #3966761

Radix Representation

Decimal	3966747
Binary	1111001000011100011011 (22 bits)
Octal	0o17103433
Hexadecimal	0x3C871B

Divisor Catalog (16)

1 3 59 73 177 219 307 921 4,307 12,921 18,113 22,411 54,339 67,233 1,322,249 3,966,747

Collatz Trajectory (198 steps to reach 1)

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

3,966,747 11,900,242 5,950,121 17,850,364 8,925,182 4,462,591 13,387,774 6,693,887 20,081,662 10,040,831 30,122,494 15,061,247 45,183,742 22,591,871 67,775,614 33,887,807 101,663,422 50,831,711 152,495,134 76,247,567 228,742,702 114,371,351 343,114,054 171,557,027 514,671,082 257,335,541 772,006,624 386,003,312 193,001,656 96,500,828 48,250,414 24,125,207 72,375,622 36,187,811 108,563,434 54,281,717 162,845,152 81,422,576 40,711,288 20,355,644 10,177,822 5,088,911 15,266,734 7,633,367 22,900,102 11,450,051 34,350,154 17,175,077 51,525,232 25,762,616 12,881,308 6,440,654 3,220,327 9,660,982 4,830,491 14,491,474 7,245,737 21,737,212 10,868,606 5,434,303

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