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Atlas › Integer Profiles › Node 7,003,880

7,003,880

23 × 5 × 13 × 13469
Abundant Even Composite

7,003,880 factors as 2^3 × 5 × 13 × 13469. Its 32 positive divisors give a proper-divisor sum of 9,968,320, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 13469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,972,200
Proper Divisor Sum 9,968,320
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7003879 ← → #7003889

Radix Representation

Decimal 7003880
Binary 11010101101111011101000 (23 bits)
Octal 0o32557350
Hexadecimal 0x6ADEE8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 13,469 26,938 53,876 67,345 107,752 134,690 175,097 269,380 350,194 538,760 700,388 875,485 1,400,776 1,750,970 3,501,940 7,003,880

Collatz Trajectory (72 steps to reach 1)

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

7,003,880 3,501,940 1,750,970 875,485 2,626,456 1,313,228 656,614 328,307 984,922 492,461 1,477,384 738,692 369,346 184,673 554,020 277,010 138,505 415,516 207,758 103,879 311,638 155,819 467,458 233,729 701,188 350,594 175,297 525,892 262,946 131,473 394,420 197,210 98,605 295,816 147,908 73,954 36,977 110,932 55,466 27,733 83,200 41,600 20,800 10,400 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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