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Atlas › Integer Profiles › Node 41,229,324

41,229,324

22 × 38 × 1571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^8 × 1571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 108,290,364
Proper Divisor Sum 67,061,040
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41229323 ← → #41229379

Radix Representation

Decimal 41229324
Binary 10011101010001110000001100 (26 bits)
Octal 0o235216014
Hexadecimal 0x2751C0C

Divisor Catalog (54)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 1,571 2,187 2,916 3,142 4,374 4,713 6,284 6,561 8,748 9,426 13,122 14,139 18,852 26,244 28,278 42,417 56,556 84,834 127,251 169,668 254,502 381,753 509,004 763,506 1,145,259 1,527,012 2,290,518 3,435,777 4,581,036 6,871,554 10,307,331 13,743,108 20,614,662 41,229,324

Collatz Trajectory (191 steps to reach 1)

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

41,229,324 20,614,662 10,307,331 30,921,994 15,460,997 46,382,992 23,191,496 11,595,748 5,797,874 2,898,937 8,696,812 4,348,406 2,174,203 6,522,610 3,261,305 9,783,916 4,891,958 2,445,979 7,337,938 3,668,969 11,006,908 5,503,454 2,751,727 8,255,182 4,127,591 12,382,774 6,191,387 18,574,162 9,287,081 27,861,244 13,930,622 6,965,311 20,895,934 10,447,967 31,343,902 15,671,951 47,015,854 23,507,927 70,523,782 35,261,891 105,785,674 52,892,837 158,678,512 79,339,256 39,669,628 19,834,814 9,917,407 29,752,222 14,876,111 44,628,334 22,314,167 66,942,502 33,471,251 100,413,754 50,206,877 150,620,632 75,310,316 37,655,158 18,827,579 56,482,738

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