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Atlas › Integer Profiles › Node 9,071,800

9,071,800

23 × 52 × 67 × 677
Abundant Even Composite

9,071,800 factors as 2^3 × 5^2 × 67 × 677. Its 48 positive divisors give a proper-divisor sum of 12,366,560, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 67 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,438,360
Proper Divisor Sum 12,366,560
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9071791 ← → #9071801

Radix Representation

Decimal 9071800
Binary 100010100110110010111000 (24 bits)
Octal 0o42466270
Hexadecimal 0x8A6CB8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 677 1,340 1,354 1,675 2,680 2,708 3,350 3,385 5,416 6,700 6,770 13,400 13,540 16,925 27,080 33,850 45,359 67,700 90,718 135,400 181,436 226,795 362,872 453,590 907,180 1,133,975 1,814,360 2,267,950 4,535,900 9,071,800

Collatz Trajectory (132 steps to reach 1)

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

9,071,800 4,535,900 2,267,950 1,133,975 3,401,926 1,700,963 5,102,890 2,551,445 7,654,336 3,827,168 1,913,584 956,792 478,396 239,198 119,599 358,798 179,399 538,198 269,099 807,298 403,649 1,210,948 605,474 302,737 908,212 454,106 227,053 681,160 340,580 170,290 85,145 255,436 127,718 63,859 191,578 95,789 287,368 143,684 71,842 35,921 107,764 53,882 26,941 80,824 40,412 20,206 10,103 30,310 15,155 45,466 22,733 68,200 34,100 17,050 8,525 25,576 12,788 6,394 3,197 9,592

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