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Atlas › Integer Profiles › Node 7,360,892

7,360,892

22 × 7 × 11 × 23899
Abundant Even Composite

7,360,892 factors as 2^2 × 7 × 11 × 23899. Its 24 positive divisors give a proper-divisor sum of 8,699,908, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 23899
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,060,800
Proper Divisor Sum 8,699,908
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7360883 ← → #7360907

Radix Representation

Decimal 7360892
Binary 11100000101000101111100 (23 bits)
Octal 0o34050574
Hexadecimal 0x70517C

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 23,899 47,798 95,596 167,293 262,889 334,586 525,778 669,172 1,051,556 1,840,223 3,680,446 7,360,892

Collatz Trajectory (235 steps to reach 1)

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

7,360,892 3,680,446 1,840,223 5,520,670 2,760,335 8,281,006 4,140,503 12,421,510 6,210,755 18,632,266 9,316,133 27,948,400 13,974,200 6,987,100 3,493,550 1,746,775 5,240,326 2,620,163 7,860,490 3,930,245 11,790,736 5,895,368 2,947,684 1,473,842 736,921 2,210,764 1,105,382 552,691 1,658,074 829,037 2,487,112 1,243,556 621,778 310,889 932,668 466,334 233,167 699,502 349,751 1,049,254 524,627 1,573,882 786,941 2,360,824 1,180,412 590,206 295,103 885,310 442,655 1,327,966 663,983 1,991,950 995,975 2,987,926 1,493,963 4,481,890 2,240,945 6,722,836 3,361,418 1,680,709

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