3,400,340

2² × 5 × 17 × 73 × 137

3,400,340 has digital root 5. The neighboring primes are 3400333 and 3400361; its proper-divisor sum differs from the starting integer by 919,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 73 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,720,272

Proper Divisor Sum 4,319,932

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3400333 ← → #3400361

Radix Representation

Decimal	3400340
Binary	1100111110001010010100 (22 bits)
Octal	0o14761224
Hexadecimal	0x33E294

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 73 85 137 146 170 274 292 340 365 548 685 730 1,241 1,370 1,460 2,329 2,482 2,740 4,658 4,964 6,205 9,316 10,001 11,645 12,410 20,002 23,290 24,820 40,004 46,580 50,005 100,010 170,017 200,020 340,034 680,068 850,085 1,700,170 3,400,340

Collatz Trajectory (190 steps to reach 1)

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

3,400,340 1,700,170 850,085 2,550,256 1,275,128 637,564 318,782 159,391 478,174 239,087 717,262 358,631 1,075,894 537,947 1,613,842 806,921 2,420,764 1,210,382 605,191 1,815,574 907,787 2,723,362 1,361,681 4,085,044 2,042,522 1,021,261 3,063,784 1,531,892 765,946 382,973 1,148,920 574,460 287,230 143,615 430,846 215,423 646,270 323,135 969,406 484,703 1,454,110 727,055 2,181,166 1,090,583 3,271,750 1,635,875 4,907,626 2,453,813 7,361,440 3,680,720 1,840,360 920,180 460,090 230,045 690,136 345,068 172,534 86,267 258,802 129,401

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