λ
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Atlas › Integer Profiles › Node 80,025,246

80,025,246

2 × 36 × 7 × 7841
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^6 × 7 × 7841
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 205,711,344
Proper Divisor Sum 125,686,098
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #80025233 ← → #80025259

Radix Representation

Decimal 80025246
Binary 100110001010001011010011110 (27 bits)
Octal 0o461213236
Hexadecimal 0x4C5169E

Divisor Catalog (56)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1,134 1,458 1,701 3,402 5,103 7,841 10,206 15,682 23,523 47,046 54,887 70,569 109,774 141,138 164,661 211,707 329,322 423,414 493,983 635,121 987,966 1,270,242 1,481,949 1,905,363 2,963,898 3,810,726 4,445,847 5,716,089 8,891,694 11,432,178 13,337,541 26,675,082 40,012,623 80,025,246

Collatz Trajectory (192 steps to reach 1)

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

80,025,246 40,012,623 120,037,870 60,018,935 180,056,806 90,028,403 270,085,210 135,042,605 405,127,816 202,563,908 101,281,954 50,640,977 151,922,932 75,961,466 37,980,733 113,942,200 56,971,100 28,485,550 14,242,775 42,728,326 21,364,163 64,092,490 32,046,245 96,138,736 48,069,368 24,034,684 12,017,342 6,008,671 18,026,014 9,013,007 27,039,022 13,519,511 40,558,534 20,279,267 60,837,802 30,418,901 91,256,704 45,628,352 22,814,176 11,407,088 5,703,544 2,851,772 1,425,886 712,943 2,138,830 1,069,415 3,208,246 1,604,123 4,812,370 2,406,185 7,218,556 3,609,278 1,804,639 5,413,918 2,706,959 8,120,878 4,060,439 12,181,318 6,090,659 18,271,978

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