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Atlas › Integer Profiles › Node 67,542,012

67,542,012

22 × 34 × 208463
Abundant Even Composite

67,542,012 factors as 2^2 × 3^4 × 208463. Its 30 positive divisors give a proper-divisor sum of 109,026,996, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 208463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 176,569,008
Proper Divisor Sum 109,026,996
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #67542001 ← → #67542023

Radix Representation

Decimal 67542012
Binary 100000001101001101111111100 (27 bits)
Octal 0o401515774
Hexadecimal 0x4069BFC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 208,463 416,926 625,389 833,852 1,250,778 1,876,167 2,501,556 3,752,334 5,628,501 7,504,668 11,257,002 16,885,503 22,514,004 33,771,006 67,542,012

Collatz Trajectory (184 steps to reach 1)

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

67,542,012 33,771,006 16,885,503 50,656,510 25,328,255 75,984,766 37,992,383 113,977,150 56,988,575 170,965,726 85,482,863 256,448,590 128,224,295 384,672,886 192,336,443 577,009,330 288,504,665 865,513,996 432,756,998 216,378,499 649,135,498 324,567,749 973,703,248 486,851,624 243,425,812 121,712,906 60,856,453 182,569,360 91,284,680 45,642,340 22,821,170 11,410,585 34,231,756 17,115,878 8,557,939 25,673,818 12,836,909 38,510,728 19,255,364 9,627,682 4,813,841 14,441,524 7,220,762 3,610,381 10,831,144 5,415,572 2,707,786 1,353,893 4,061,680 2,030,840 1,015,420 507,710 253,855 761,566 380,783 1,142,350 571,175 1,713,526 856,763 2,570,290

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