λ
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Atlas › Integer Profiles › Node 7,011,520

7,011,520

26 × 5 × 21911
Abundant Even Composite

7,011,520 factors as 2^6 × 5 × 21911. Its 28 positive divisors give a proper-divisor sum of 9,685,424, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 21911
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 16,696,944
Proper Divisor Sum 9,685,424
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7011503 ← → #7011547

Radix Representation

Decimal 7011520
Binary 11010101111110011000000 (23 bits)
Octal 0o32576300
Hexadecimal 0x6AFCC0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 21,911 43,822 87,644 109,555 175,288 219,110 350,576 438,220 701,152 876,440 1,402,304 1,752,880 3,505,760 7,011,520

Collatz Trajectory (72 steps to reach 1)

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

7,011,520 3,505,760 1,752,880 876,440 438,220 219,110 109,555 328,666 164,333 493,000 246,500 123,250 61,625 184,876 92,438 46,219 138,658 69,329 207,988 103,994 51,997 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35

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