λ
Ratio Atlas

4,770,892

22 × 7 × 170389
Abundant Even Composite

4,770,892 factors as 2^2 × 7 × 170389. Its 12 positive divisors give a proper-divisor sum of 4,770,948, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 170389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,541,840
Proper Divisor Sum 4,770,948
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4770851 ← → #4770911

Radix Representation

Decimal 4770892
Binary 10010001100110001001100 (23 bits)
Octal 0o22146114
Hexadecimal 0x48CC4C

Divisor Catalog (12)

1 2 4 7 14 28 170,389 340,778 681,556 1,192,723 2,385,446 4,770,892

Collatz Trajectory (224 steps to reach 1)

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

4,770,892 2,385,446 1,192,723 3,578,170 1,789,085 5,367,256 2,683,628 1,341,814 670,907 2,012,722 1,006,361 3,019,084 1,509,542 754,771 2,264,314 1,132,157 3,396,472 1,698,236 849,118 424,559 1,273,678 636,839 1,910,518 955,259 2,865,778 1,432,889 4,298,668 2,149,334 1,074,667 3,224,002 1,612,001 4,836,004 2,418,002 1,209,001 3,627,004 1,813,502 906,751 2,720,254 1,360,127 4,080,382 2,040,191 6,120,574 3,060,287 9,180,862 4,590,431 13,771,294 6,885,647 20,656,942 10,328,471 30,985,414 15,492,707 46,478,122 23,239,061 69,717,184 34,858,592 17,429,296 8,714,648 4,357,324 2,178,662 1,089,331

More profiles

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