3,963,722

2 × 7 × 31 × 9133

3,963,722 factors as 2 × 7 × 31 × 9133. Its 16 positive divisors give a proper-divisor sum of 3,051,190, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 9133

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,014,912

Proper Divisor Sum 3,051,190

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3963721 ← → #3963763

Radix Representation

Decimal	3963722
Binary	1111000111101101001010 (22 bits)
Octal	0o17075512
Hexadecimal	0x3C7B4A

Divisor Catalog (16)

1 2 7 14 31 62 217 434 9,133 18,266 63,931 127,862 283,123 566,246 1,981,861 3,963,722

Collatz Trajectory (123 steps to reach 1)

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

3,963,722 1,981,861 5,945,584 2,972,792 1,486,396 743,198 371,599 1,114,798 557,399 1,672,198 836,099 2,508,298 1,254,149 3,762,448 1,881,224 940,612 470,306 235,153 705,460 352,730 176,365 529,096 264,548 132,274 66,137 198,412 99,206 49,603 148,810 74,405 223,216 111,608 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142

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