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Atlas › Integer Profiles › Node 24,258,020

24,258,020

22 × 5 × 43 × 67 × 421
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 67 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,030,208
Proper Divisor Sum 28,772,188
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #24258001 ← → #24258029

Radix Representation

Decimal 24258020
Binary 1011100100010010111100100 (25 bits)
Octal 0o134422744
Hexadecimal 0x17225E4

Divisor Catalog (48)

1 2 4 5 10 20 43 67 86 134 172 215 268 335 421 430 670 842 860 1,340 1,684 2,105 2,881 4,210 5,762 8,420 11,524 14,405 18,103 28,207 28,810 36,206 56,414 57,620 72,412 90,515 112,828 141,035 181,030 282,070 362,060 564,140 1,212,901 2,425,802 4,851,604 6,064,505 12,129,010 24,258,020

Collatz Trajectory (221 steps to reach 1)

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

24,258,020 12,129,010 6,064,505 18,193,516 9,096,758 4,548,379 13,645,138 6,822,569 20,467,708 10,233,854 5,116,927 15,350,782 7,675,391 23,026,174 11,513,087 34,539,262 17,269,631 51,808,894 25,904,447 77,713,342 38,856,671 116,570,014 58,285,007 174,855,022 87,427,511 262,282,534 131,141,267 393,423,802 196,711,901 590,135,704 295,067,852 147,533,926 73,766,963 221,300,890 110,650,445 331,951,336 165,975,668 82,987,834 41,493,917 124,481,752 62,240,876 31,120,438 15,560,219 46,680,658 23,340,329 70,020,988 35,010,494 17,505,247 52,515,742 26,257,871 78,773,614 39,386,807 118,160,422 59,080,211 177,240,634 88,620,317 265,860,952 132,930,476 66,465,238 33,232,619

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