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Atlas › Integer Profiles › Node 47,720,169

47,720,169

32 × 72 × 241 × 449
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 241 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 80,694,900
Proper Divisor Sum 32,974,731
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47720161 ← → #47720171

Radix Representation

Decimal 47720169
Binary 10110110000010011011101001 (26 bits)
Octal 0o266023351
Hexadecimal 0x2D826E9

Divisor Catalog (36)

1 3 7 9 21 49 63 147 241 441 449 723 1,347 1,687 2,169 3,143 4,041 5,061 9,429 11,809 15,183 22,001 28,287 35,427 66,003 106,281 108,209 198,009 324,627 757,463 973,881 2,272,389 5,302,241 6,817,167 15,906,723 47,720,169

Collatz Trajectory (230 steps to reach 1)

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

47,720,169 143,160,508 71,580,254 35,790,127 107,370,382 53,685,191 161,055,574 80,527,787 241,583,362 120,791,681 362,375,044 181,187,522 90,593,761 271,781,284 135,890,642 67,945,321 203,835,964 101,917,982 50,958,991 152,876,974 76,438,487 229,315,462 114,657,731 343,973,194 171,986,597 515,959,792 257,979,896 128,989,948 64,494,974 32,247,487 96,742,462 48,371,231 145,113,694 72,556,847 217,670,542 108,835,271 326,505,814 163,252,907 489,758,722 244,879,361 734,638,084 367,319,042 183,659,521 550,978,564 275,489,282 137,744,641 413,233,924 206,616,962 103,308,481 309,925,444 154,962,722 77,481,361 232,444,084 116,222,042 58,111,021 174,333,064 87,166,532 43,583,266 21,791,633 65,374,900

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