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Atlas › Integer Profiles › Node 4,414,780

4,414,780

22 × 5 × 71 × 3109
Abundant Even Composite

4,414,780 factors as 2^2 × 5 × 71 × 3109. Its 24 positive divisors give a proper-divisor sum of 4,989,860, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 3109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,404,640
Proper Divisor Sum 4,989,860
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4414777 ← → #4414789

Radix Representation

Decimal 4414780
Binary 10000110101110100111100 (23 bits)
Octal 0o20656474
Hexadecimal 0x435D3C

Divisor Catalog (24)

1 2 4 5 10 20 71 142 284 355 710 1,420 3,109 6,218 12,436 15,545 31,090 62,180 220,739 441,478 882,956 1,103,695 2,207,390 4,414,780

Collatz Trajectory (180 steps to reach 1)

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

4,414,780 2,207,390 1,103,695 3,311,086 1,655,543 4,966,630 2,483,315 7,449,946 3,724,973 11,174,920 5,587,460 2,793,730 1,396,865 4,190,596 2,095,298 1,047,649 3,142,948 1,571,474 785,737 2,357,212 1,178,606 589,303 1,767,910 883,955 2,651,866 1,325,933 3,977,800 1,988,900 994,450 497,225 1,491,676 745,838 372,919 1,118,758 559,379 1,678,138 839,069 2,517,208 1,258,604 629,302 314,651 943,954 471,977 1,415,932 707,966 353,983 1,061,950 530,975 1,592,926 796,463 2,389,390 1,194,695 3,584,086 1,792,043 5,376,130 2,688,065 8,064,196 4,032,098 2,016,049 6,048,148

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