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Atlas › Integer Profiles › Node 24,254,780

24,254,780

22 × 5 × 11 × 41 × 2689
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 41 × 2689
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,941,920
Proper Divisor Sum 32,687,140
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #24254779 ← → #24254809

Radix Representation

Decimal 24254780
Binary 1011100100001100100111100 (25 bits)
Octal 0o134414474
Hexadecimal 0x172193C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1,804 2,255 2,689 4,510 5,378 9,020 10,756 13,445 26,890 29,579 53,780 59,158 110,249 118,316 147,895 220,498 295,790 440,996 551,245 591,580 1,102,490 1,212,739 2,204,980 2,425,478 4,850,956 6,063,695 12,127,390 24,254,780

Collatz Trajectory (141 steps to reach 1)

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

24,254,780 12,127,390 6,063,695 18,191,086 9,095,543 27,286,630 13,643,315 40,929,946 20,464,973 61,394,920 30,697,460 15,348,730 7,674,365 23,023,096 11,511,548 5,755,774 2,877,887 8,633,662 4,316,831 12,950,494 6,475,247 19,425,742 9,712,871 29,138,614 14,569,307 43,707,922 21,853,961 65,561,884 32,780,942 16,390,471 49,171,414 24,585,707 73,757,122 36,878,561 110,635,684 55,317,842 27,658,921 82,976,764 41,488,382 20,744,191 62,232,574 31,116,287 93,348,862 46,674,431 140,023,294 70,011,647 210,034,942 105,017,471 315,052,414 157,526,207 472,578,622 236,289,311 708,867,934 354,433,967 1,063,301,902 531,650,951 1,594,952,854 797,476,427 2,392,429,282 1,196,214,641

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