3,952,272

2⁴ × 3 × 82339

3,952,272 has digital root 3. The neighboring primes are 3952243 and 3952301; its proper-divisor sum differs from the starting integer by 2,305,616.

Prime Factor Structure

Factorization String 2^4 × 3 × 82339

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,210,160

Proper Divisor Sum 6,257,888

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3952243 ← → #3952301

Radix Representation

Decimal	3952272
Binary	1111000100111010010000 (22 bits)
Octal	0o17047220
Hexadecimal	0x3C4E90

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 82,339 164,678 247,017 329,356 494,034 658,712 988,068 1,317,424 1,976,136 3,952,272

Collatz Trajectory (123 steps to reach 1)

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

3,952,272 1,976,136 988,068 494,034 247,017 741,052 370,526 185,263 555,790 277,895 833,686 416,843 1,250,530 625,265 1,875,796 937,898 468,949 1,406,848 703,424 351,712 175,856 87,928 43,964 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072

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