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Atlas › Integer Profiles › Node 48,420,144

48,420,144

24 × 32 × 336251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 336251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 135,509,556
Proper Divisor Sum 87,089,412
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #48420143 ← → #48420149

Radix Representation

Decimal 48420144
Binary 10111000101101010100110000 (26 bits)
Octal 0o270552460
Hexadecimal 0x2E2D530

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 336,251 672,502 1,008,753 1,345,004 2,017,506 2,690,008 3,026,259 4,035,012 5,380,016 6,052,518 8,070,024 12,105,036 16,140,048 24,210,072 48,420,144

Collatz Trajectory (230 steps to reach 1)

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

48,420,144 24,210,072 12,105,036 6,052,518 3,026,259 9,078,778 4,539,389 13,618,168 6,809,084 3,404,542 1,702,271 5,106,814 2,553,407 7,660,222 3,830,111 11,490,334 5,745,167 17,235,502 8,617,751 25,853,254 12,926,627 38,779,882 19,389,941 58,169,824 29,084,912 14,542,456 7,271,228 3,635,614 1,817,807 5,453,422 2,726,711 8,180,134 4,090,067 12,270,202 6,135,101 18,405,304 9,202,652 4,601,326 2,300,663 6,901,990 3,450,995 10,352,986 5,176,493 15,529,480 7,764,740 3,882,370 1,941,185 5,823,556 2,911,778 1,455,889 4,367,668 2,183,834 1,091,917 3,275,752 1,637,876 818,938 409,469 1,228,408 614,204 307,102

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