λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,456,040

7,456,040

23 × 5 × 53 × 3517
Abundant Even Composite

7,456,040 factors as 2^3 × 5 × 53 × 3517. Its 32 positive divisors give a proper-divisor sum of 9,641,440, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 53 × 3517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,097,480
Proper Divisor Sum 9,641,440
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7456039 ← → #7456051

Radix Representation

Decimal 7456040
Binary 11100011100010100101000 (23 bits)
Octal 0o34342450
Hexadecimal 0x71C528

Divisor Catalog (32)

1 2 4 5 8 10 20 40 53 106 212 265 424 530 1,060 2,120 3,517 7,034 14,068 17,585 28,136 35,170 70,340 140,680 186,401 372,802 745,604 932,005 1,491,208 1,864,010 3,728,020 7,456,040

Collatz Trajectory (173 steps to reach 1)

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

7,456,040 3,728,020 1,864,010 932,005 2,796,016 1,398,008 699,004 349,502 174,751 524,254 262,127 786,382 393,191 1,179,574 589,787 1,769,362 884,681 2,654,044 1,327,022 663,511 1,990,534 995,267 2,985,802 1,492,901 4,478,704 2,239,352 1,119,676 559,838 279,919 839,758 419,879 1,259,638 629,819 1,889,458 944,729 2,834,188 1,417,094 708,547 2,125,642 1,062,821 3,188,464 1,594,232 797,116 398,558 199,279 597,838 298,919 896,758 448,379 1,345,138 672,569 2,017,708 1,008,854 504,427 1,513,282 756,641 2,269,924 1,134,962 567,481 1,702,444

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,456,039 Browse Full Index Next Integer #7,456,041 →