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Atlas › Integer Profiles › Node 7,182,040

7,182,040

23 × 5 × 409 × 439
Abundant Even Composite

7,182,040 factors as 2^3 × 5 × 409 × 439. Its 32 positive divisors give a proper-divisor sum of 9,053,960, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 409 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,236,000
Proper Divisor Sum 9,053,960
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7182001 ← → #7182047

Radix Representation

Decimal 7182040
Binary 11011011001011011011000 (23 bits)
Octal 0o33313330
Hexadecimal 0x6D96D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 409 439 818 878 1,636 1,756 2,045 2,195 3,272 3,512 4,090 4,390 8,180 8,780 16,360 17,560 179,551 359,102 718,204 897,755 1,436,408 1,795,510 3,591,020 7,182,040

Collatz Trajectory (98 steps to reach 1)

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

7,182,040 3,591,020 1,795,510 897,755 2,693,266 1,346,633 4,039,900 2,019,950 1,009,975 3,029,926 1,514,963 4,544,890 2,272,445 6,817,336 3,408,668 1,704,334 852,167 2,556,502 1,278,251 3,834,754 1,917,377 5,752,132 2,876,066 1,438,033 4,314,100 2,157,050 1,078,525 3,235,576 1,617,788 808,894 404,447 1,213,342 606,671 1,820,014 910,007 2,730,022 1,365,011 4,095,034 2,047,517 6,142,552 3,071,276 1,535,638 767,819 2,303,458 1,151,729 3,455,188 1,727,594 863,797 2,591,392 1,295,696 647,848 323,924 161,962 80,981 242,944 121,472 60,736 30,368 15,184 7,592

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