3,480,704

2⁷ × 71 × 383

3,480,704 has the prime decomposition 2^7 × 71 × 383. Its 3 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 71 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,050,240

Proper Divisor Sum 3,569,536

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3480703 ← → #3480727

Radix Representation

Decimal	3480704
Binary	1101010001110010000000 (22 bits)
Octal	0o15216200
Hexadecimal	0x351C80

Divisor Catalog (32)

1 2 4 8 16 32 64 71 128 142 284 383 568 766 1,136 1,532 2,272 3,064 4,544 6,128 9,088 12,256 24,512 27,193 49,024 54,386 108,772 217,544 435,088 870,176 1,740,352 3,480,704

Collatz Trajectory (97 steps to reach 1)

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

3,480,704 1,740,352 870,176 435,088 217,544 108,772 54,386 27,193 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614

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