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Atlas › Integer Profiles › Node 54,374,047

54,374,047

7 × 13 × 23 × 83 × 313
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 13 × 23 × 83 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,898,688
Proper Divisor Sum 16,524,641
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #54374017 ← → #54374063

Radix Representation

Decimal 54374047
Binary 11001111011010111010011111 (26 bits)
Octal 0o317327237
Hexadecimal 0x33DAE9F

Divisor Catalog (32)

1 7 13 23 83 91 161 299 313 581 1,079 1,909 2,093 2,191 4,069 7,199 7,553 13,363 24,817 25,979 28,483 50,393 93,587 173,719 181,853 337,727 597,517 655,109 2,364,089 4,182,619 7,767,721 54,374,047

Collatz Trajectory (212 steps to reach 1)

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

54,374,047 163,122,142 81,561,071 244,683,214 122,341,607 367,024,822 183,512,411 550,537,234 275,268,617 825,805,852 412,902,926 206,451,463 619,354,390 309,677,195 929,031,586 464,515,793 1,393,547,380 696,773,690 348,386,845 1,045,160,536 522,580,268 261,290,134 130,645,067 391,935,202 195,967,601 587,902,804 293,951,402 146,975,701 440,927,104 220,463,552 110,231,776 55,115,888 27,557,944 13,778,972 6,889,486 3,444,743 10,334,230 5,167,115 15,501,346 7,750,673 23,252,020 11,626,010 5,813,005 17,439,016 8,719,508 4,359,754 2,179,877 6,539,632 3,269,816 1,634,908 817,454 408,727 1,226,182 613,091 1,839,274 919,637 2,758,912 1,379,456 689,728 344,864

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