7,009,340

2² × 5 × 13 × 26959

For 7,009,340, the 24 positive divisors have a total of 15,852,480. Removing 7,009,340 leaves 8,843,140, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 26959

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,852,480

Proper Divisor Sum 8,843,140

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7009337 ← → #7009349

Radix Representation

Decimal	7009340
Binary	11010101111010000111100 (23 bits)
Octal	0o32572074
Hexadecimal	0x6AF43C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 26,959 53,918 107,836 134,795 269,590 350,467 539,180 700,934 1,401,868 1,752,335 3,504,670 7,009,340

Collatz Trajectory (72 steps to reach 1)

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

7,009,340 3,504,670 1,752,335 5,257,006 2,628,503 7,885,510 3,942,755 11,828,266 5,914,133 17,742,400 8,871,200 4,435,600 2,217,800 1,108,900 554,450 277,225 831,676 415,838 207,919 623,758 311,879 935,638 467,819 1,403,458 701,729 2,105,188 1,052,594 526,297 1,578,892 789,446 394,723 1,184,170 592,085 1,776,256 888,128 444,064 222,032 111,016 55,508 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35

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