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Atlas › Integer Profiles › Node 57,744,144

57,744,144

24 × 33 × 349 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 349 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 166,656,000
Proper Divisor Sum 108,911,856
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57744131 ← → #57744187

Radix Representation

Decimal 57744144
Binary 11011100010001101100010000 (26 bits)
Octal 0o334215420
Hexadecimal 0x3711B10

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 383 432 698 766 1,047 1,149 1,396 1,532 2,094 2,298 2,792 3,064 3,141 3,447 4,188 4,596 5,584 6,128 6,282 6,894 8,376 9,192 9,423 10,341 12,564 13,788 16,752 18,384 18,846 20,682 25,128 27,576 37,692 41,364 50,256 55,152 75,384 82,728 133,667 150,768

Collatz Trajectory (238 steps to reach 1)

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

57,744,144 28,872,072 14,436,036 7,218,018 3,609,009 10,827,028 5,413,514 2,706,757 8,120,272 4,060,136 2,030,068 1,015,034 507,517 1,522,552 761,276 380,638 190,319 570,958 285,479 856,438 428,219 1,284,658 642,329 1,926,988 963,494 481,747 1,445,242 722,621 2,167,864 1,083,932 541,966 270,983 812,950 406,475 1,219,426 609,713 1,829,140 914,570 457,285 1,371,856 685,928 342,964 171,482 85,741 257,224 128,612 64,306 32,153 96,460 48,230 24,115 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174

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