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Atlas › Integer Profiles › Node 6,180,834

6,180,834

2 × 3 × 11 × 71 × 1319
Abundant Even Composite

6,180,834 factors as 2 × 3 × 11 × 71 × 1319. Its 32 positive divisors give a proper-divisor sum of 7,504,926, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 71 × 1319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 7,504,926
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6180827 ← → #6180841

Radix Representation

Decimal 6180834
Binary 10111100100111111100010 (23 bits)
Octal 0o27447742
Hexadecimal 0x5E4FE2

Divisor Catalog (32)

1 2 3 6 11 22 33 66 71 142 213 426 781 1,319 1,562 2,343 2,638 3,957 4,686 7,914 14,509 29,018 43,527 87,054 93,649 187,298 280,947 561,894 1,030,139 2,060,278 3,090,417 6,180,834

Collatz Trajectory (152 steps to reach 1)

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

6,180,834 3,090,417 9,271,252 4,635,626 2,317,813 6,953,440 3,476,720 1,738,360 869,180 434,590 217,295 651,886 325,943 977,830 488,915 1,466,746 733,373 2,200,120 1,100,060 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356 928,178 464,089 1,392,268 696,134 348,067 1,044,202 522,101 1,566,304 783,152 391,576 195,788 97,894 48,947 146,842 73,421 220,264 110,132 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182

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