λ
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Atlas › Integer Profiles › Node 6,139,518

6,139,518

2 × 3 × 7 × 11 × 97 × 137
Abundant Even Composite

6,139,518 factors as 2 × 3 × 7 × 11 × 97 × 137. Its 64 positive divisors give a proper-divisor sum of 9,440,130, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 97 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,579,648
Proper Divisor Sum 9,440,130
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6139517 ← → #6139531

Radix Representation

Decimal 6139518
Binary 10111011010111001111110 (23 bits)
Octal 0o27327176
Hexadecimal 0x5DAE7E

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 33 42 66 77 97 137 154 194 231 274 291 411 462 582 679 822 959 1,067 1,358 1,507 1,918 2,037 2,134 2,877 3,014 3,201 4,074 4,521 5,754 6,402 7,469 9,042 10,549 13,289 14,938 21,098 22,407 26,578 31,647 39,867 44,814 63,294 79,734 93,023 146,179 186,046 279,069 292,358 438,537 558,138 877,074

Collatz Trajectory (227 steps to reach 1)

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

6,139,518 3,069,759 9,209,278 4,604,639 13,813,918 6,906,959 20,720,878 10,360,439 31,081,318 15,540,659 46,621,978 23,310,989 69,932,968 34,966,484 17,483,242 8,741,621 26,224,864 13,112,432 6,556,216 3,278,108 1,639,054 819,527 2,458,582 1,229,291 3,687,874 1,843,937 5,531,812 2,765,906 1,382,953 4,148,860 2,074,430 1,037,215 3,111,646 1,555,823 4,667,470 2,333,735 7,001,206 3,500,603 10,501,810 5,250,905 15,752,716 7,876,358 3,938,179 11,814,538 5,907,269 17,721,808 8,860,904 4,430,452 2,215,226 1,107,613 3,322,840 1,661,420 830,710 415,355 1,246,066 623,033 1,869,100 934,550 467,275 1,401,826

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