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Atlas › Integer Profiles › Node 7,121,300

7,121,300

22 × 52 × 17 × 59 × 71
Abundant Even Composite

7,121,300 factors as 2^2 × 5^2 × 17 × 59 × 71. Its 72 positive divisors give a proper-divisor sum of 9,752,620, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 59 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,873,920
Proper Divisor Sum 9,752,620
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7121267 ← → #7121321

Radix Representation

Decimal 7121300
Binary 11011001010100110010100 (23 bits)
Octal 0o33124624
Hexadecimal 0x6CA994

Divisor Catalog (60 of 72)

1 2 4 5 10 17 20 25 34 50 59 68 71 85 100 118 142 170 236 284 295 340 355 425 590 710 850 1,003 1,180 1,207 1,420 1,475 1,700 1,775 2,006 2,414 2,950 3,550 4,012 4,189 4,828 5,015 5,900 6,035 7,100 8,378 10,030 12,070 16,756 20,060 20,945 24,140 25,075 30,175 41,890 50,150 60,350 71,213 83,780 100,300

Collatz Trajectory (147 steps to reach 1)

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

7,121,300 3,560,650 1,780,325 5,340,976 2,670,488 1,335,244 667,622 333,811 1,001,434 500,717 1,502,152 751,076 375,538 187,769 563,308 281,654 140,827 422,482 211,241 633,724 316,862 158,431 475,294 237,647 712,942 356,471 1,069,414 534,707 1,604,122 802,061 2,406,184 1,203,092 601,546 300,773 902,320 451,160 225,580 112,790 56,395 169,186 84,593 253,780 126,890 63,445 190,336 95,168 47,584 23,792 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532

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