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Atlas › Integer Profiles › Node 4,070,540

4,070,540

22 × 5 × 23 × 8849
Abundant Even Composite

4,070,540 factors as 2^2 × 5 × 23 × 8849. Its 24 positive divisors give a proper-divisor sum of 4,850,260, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 8849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,920,800
Proper Divisor Sum 4,850,260
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4070537 ← → #4070543

Radix Representation

Decimal 4070540
Binary 1111100001110010001100 (22 bits)
Octal 0o17416214
Hexadecimal 0x3E1C8C

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 8,849 17,698 35,396 44,245 88,490 176,980 203,527 407,054 814,108 1,017,635 2,035,270 4,070,540

Collatz Trajectory (61 steps to reach 1)

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

4,070,540 2,035,270 1,017,635 3,052,906 1,526,453 4,579,360 2,289,680 1,144,840 572,420 286,210 143,105 429,316 214,658 107,329 321,988 160,994 80,497 241,492 120,746 60,373 181,120 90,560 45,280 22,640 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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