λ
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Atlas › Integer Profiles › Node 57,764,406

57,764,406

2 × 3 × 7 × 137 × 10039
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 137 × 10039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,009,920
Proper Divisor Sum 75,245,514
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57764401 ← → #57764407

Radix Representation

Decimal 57764406
Binary 11011100010110101000110110 (26 bits)
Octal 0o334265066
Hexadecimal 0x3716A36

Divisor Catalog (32)

1 2 3 6 7 14 21 42 137 274 411 822 959 1,918 2,877 5,754 10,039 20,078 30,117 60,234 70,273 140,546 210,819 421,638 1,375,343 2,750,686 4,126,029 8,252,058 9,627,401 19,254,802 28,882,203 57,764,406

Collatz Trajectory (406 steps to reach 1)

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

57,764,406 28,882,203 86,646,610 43,323,305 129,969,916 64,984,958 32,492,479 97,477,438 48,738,719 146,216,158 73,108,079 219,324,238 109,662,119 328,986,358 164,493,179 493,479,538 246,739,769 740,219,308 370,109,654 185,054,827 555,164,482 277,582,241 832,746,724 416,373,362 208,186,681 624,560,044 312,280,022 156,140,011 468,420,034 234,210,017 702,630,052 351,315,026 175,657,513 526,972,540 263,486,270 131,743,135 395,229,406 197,614,703 592,844,110 296,422,055 889,266,166 444,633,083 1,333,899,250 666,949,625 2,000,848,876 1,000,424,438 500,212,219 1,500,636,658 750,318,329 2,250,954,988 1,125,477,494 562,738,747 1,688,216,242 844,108,121 2,532,324,364 1,266,162,182 633,081,091 1,899,243,274 949,621,637 2,848,864,912

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