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Atlas › Integer Profiles › Node 42,123,726

42,123,726

2 × 34 × 260023
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 260023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 94,388,712
Proper Divisor Sum 52,264,986
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42123721 ← → #42123727

Radix Representation

Decimal 42123726
Binary 10100000101100000111001110 (26 bits)
Octal 0o240540716
Hexadecimal 0x282C1CE

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 260,023 520,046 780,069 1,560,138 2,340,207 4,680,414 7,020,621 14,041,242 21,061,863 42,123,726

Collatz Trajectory (204 steps to reach 1)

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

42,123,726 21,061,863 63,185,590 31,592,795 94,778,386 47,389,193 142,167,580 71,083,790 35,541,895 106,625,686 53,312,843 159,938,530 79,969,265 239,907,796 119,953,898 59,976,949 179,930,848 89,965,424 44,982,712 22,491,356 11,245,678 5,622,839 16,868,518 8,434,259 25,302,778 12,651,389 37,954,168 18,977,084 9,488,542 4,744,271 14,232,814 7,116,407 21,349,222 10,674,611 32,023,834 16,011,917 48,035,752 24,017,876 12,008,938 6,004,469 18,013,408 9,006,704 4,503,352 2,251,676 1,125,838 562,919 1,688,758 844,379 2,533,138 1,266,569 3,799,708 1,899,854 949,927 2,849,782 1,424,891 4,274,674 2,137,337 6,412,012 3,206,006 1,603,003

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