λ
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Atlas › Integer Profiles › Node 8,990,712

8,990,712

23 × 32 × 193 × 647
Abundant Even Composite

8,990,712 factors as 2^3 × 3^2 × 193 × 647. Its 48 positive divisors give a proper-divisor sum of 15,523,128, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 193 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,513,840
Proper Divisor Sum 15,523,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8990693 ← → #8990719

Radix Representation

Decimal 8990712
Binary 100010010010111111111000 (24 bits)
Octal 0o42227770
Hexadecimal 0x892FF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 647 772 1,158 1,294 1,544 1,737 1,941 2,316 2,588 3,474 3,882 4,632 5,176 5,823 6,948 7,764 11,646 13,896 15,528 23,292 46,584 124,871 249,742 374,613 499,484 749,226 998,968 1,123,839 1,498,452 2,247,678 2,996,904 4,495,356 8,990,712

Collatz Trajectory (300 steps to reach 1)

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

8,990,712 4,495,356 2,247,678 1,123,839 3,371,518 1,685,759 5,057,278 2,528,639 7,585,918 3,792,959 11,378,878 5,689,439 17,068,318 8,534,159 25,602,478 12,801,239 38,403,718 19,201,859 57,605,578 28,802,789 86,408,368 43,204,184 21,602,092 10,801,046 5,400,523 16,201,570 8,100,785 24,302,356 12,151,178 6,075,589 18,226,768 9,113,384 4,556,692 2,278,346 1,139,173 3,417,520 1,708,760 854,380 427,190 213,595 640,786 320,393 961,180 480,590 240,295 720,886 360,443 1,081,330 540,665 1,621,996 810,998 405,499 1,216,498 608,249 1,824,748 912,374 456,187 1,368,562 684,281 2,052,844

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