λ
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7,906,340

22 × 5 × 13 × 47 × 647
Abundant Even Composite

7,906,340 factors as 2^2 × 5 × 13 × 47 × 647. Its 48 positive divisors give a proper-divisor sum of 10,382,812, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 47 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,289,152
Proper Divisor Sum 10,382,812
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7906307 ← → #7906361

Radix Representation

Decimal 7906340
Binary 11110001010010000100100 (23 bits)
Octal 0o36122044
Hexadecimal 0x78A424

Divisor Catalog (48)

1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 647 940 1,222 1,294 2,444 2,588 3,055 3,235 6,110 6,470 8,411 12,220 12,940 16,822 30,409 33,644 42,055 60,818 84,110 121,636 152,045 168,220 304,090 395,317 608,180 790,634 1,581,268 1,976,585 3,953,170 7,906,340

Collatz Trajectory (173 steps to reach 1)

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

7,906,340 3,953,170 1,976,585 5,929,756 2,964,878 1,482,439 4,447,318 2,223,659 6,670,978 3,335,489 10,006,468 5,003,234 2,501,617 7,504,852 3,752,426 1,876,213 5,628,640 2,814,320 1,407,160 703,580 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966 83,483 250,450 125,225 375,676 187,838 93,919 281,758 140,879 422,638 211,319 633,958 316,979 950,938 475,469 1,426,408 713,204 356,602 178,301 534,904 267,452 133,726 66,863 200,590 100,295 300,886

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