3,640,512

2⁶ × 3 × 67 × 283

3,640,512 has the prime decomposition 2^6 × 3 × 67 × 283. Its 4 distinct prime factors produce 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 67 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 9,810,496

Proper Divisor Sum 6,169,984

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3640493 ← → #3640519

Radix Representation

Decimal	3640512
Binary	1101111000110011000000 (22 bits)
Octal	0o15706300
Hexadecimal	0x378CC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 283 402 536 566 804 849 1,072 1,132 1,608 1,698 2,144 2,264 3,216 3,396 4,288 4,528 6,432 6,792 9,056 12,864 13,584 18,112 18,961 27,168 37,922 54,336 56,883 75,844 113,766 151,688 227,532 303,376 455,064 606,752 910,128 1,213,504 1,820,256 3,640,512

Collatz Trajectory (203 steps to reach 1)

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

3,640,512 1,820,256 910,128 455,064 227,532 113,766 56,883 170,650 85,325 255,976 127,988 63,994 31,997 95,992 47,996 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851

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