λ
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Atlas › Integer Profiles › Node 24,673,530

24,673,530

2 × 3 × 5 × 7 × 293 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 293 × 401
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,076,288
Proper Divisor Sum 43,402,758
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #24673507 ← → #24673531

Radix Representation

Decimal 24673530
Binary 1011110000111110011111010 (25 bits)
Octal 0o136076372
Hexadecimal 0x1787CFA

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 293 401 586 802 879 1,203 1,465 1,758 2,005 2,051 2,406 2,807 2,930 4,010 4,102 4,395 5,614 6,015 6,153 8,421 8,790 10,255 12,030 12,306 14,035 16,842 20,510 28,070 30,765 42,105 61,530 84,210 117,493 234,986 352,479 587,465 704,958 822,451 1,174,930 1,644,902 1,762,395 2,467,353 3,524,790 4,112,255

Collatz Trajectory (242 steps to reach 1)

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

24,673,530 12,336,765 37,010,296 18,505,148 9,252,574 4,626,287 13,878,862 6,939,431 20,818,294 10,409,147 31,227,442 15,613,721 46,841,164 23,420,582 11,710,291 35,130,874 17,565,437 52,696,312 26,348,156 13,174,078 6,587,039 19,761,118 9,880,559 29,641,678 14,820,839 44,462,518 22,231,259 66,693,778 33,346,889 100,040,668 50,020,334 25,010,167 75,030,502 37,515,251 112,545,754 56,272,877 168,818,632 84,409,316 42,204,658 21,102,329 63,306,988 31,653,494 15,826,747 47,480,242 23,740,121 71,220,364 35,610,182 17,805,091 53,415,274 26,707,637 80,122,912 40,061,456 20,030,728 10,015,364 5,007,682 2,503,841 7,511,524 3,755,762 1,877,881 5,633,644

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