λ
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Atlas › Integer Profiles › Node 61,338,438

61,338,438

2 × 33 × 7 × 263 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 263 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 156,625,920
Proper Divisor Sum 95,287,482
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61338427 ← → #61338443

Radix Representation

Decimal 61338438
Binary 11101001111111001101000110 (26 bits)
Octal 0o351771506
Hexadecimal 0x3A7F346

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 526 617 789 1,234 1,578 1,841 1,851 2,367 3,682 3,702 4,319 4,734 5,523 5,553 7,101 8,638 11,046 11,106 12,957 14,202 16,569 16,659 25,914 33,138 33,318 38,871 49,707 77,742 99,414 116,613 162,271 233,226 324,542 486,813 973,626 1,135,897 1,460,439 2,271,794 2,920,878 3,407,691 4,381,317 6,815,382 8,762,634

Collatz Trajectory (326 steps to reach 1)

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

61,338,438 30,669,219 92,007,658 46,003,829 138,011,488 69,005,744 34,502,872 17,251,436 8,625,718 4,312,859 12,938,578 6,469,289 19,407,868 9,703,934 4,851,967 14,555,902 7,277,951 21,833,854 10,916,927 32,750,782 16,375,391 49,126,174 24,563,087 73,689,262 36,844,631 110,533,894 55,266,947 165,800,842 82,900,421 248,701,264 124,350,632 62,175,316 31,087,658 15,543,829 46,631,488 23,315,744 11,657,872 5,828,936 2,914,468 1,457,234 728,617 2,185,852 1,092,926 546,463 1,639,390 819,695 2,459,086 1,229,543 3,688,630 1,844,315 5,532,946 2,766,473 8,299,420 4,149,710 2,074,855 6,224,566 3,112,283 9,336,850 4,668,425 14,005,276

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