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Atlas › Integer Profiles › Node 54,560,464

54,560,464

24 × 7 × 43 × 11329
Abundant Even Composite

54,560,464 factors as 2^4 × 7 × 43 × 11329. Its 40 positive divisors give a proper-divisor sum of 69,072,496, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 43 × 11329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 123,632,960
Proper Divisor Sum 69,072,496
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #54560449 ← → #54560489

Radix Representation

Decimal 54560464
Binary 11010000001000011011010000 (26 bits)
Octal 0o320103320
Hexadecimal 0x34086D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1,204 2,408 4,816 11,329 22,658 45,316 79,303 90,632 158,606 181,264 317,212 487,147 634,424 974,294 1,268,848 1,948,588 3,410,029 3,897,176 6,820,058 7,794,352 13,640,116 27,280,232 54,560,464

Collatz Trajectory (212 steps to reach 1)

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

54,560,464 27,280,232 13,640,116 6,820,058 3,410,029 10,230,088 5,115,044 2,557,522 1,278,761 3,836,284 1,918,142 959,071 2,877,214 1,438,607 4,315,822 2,157,911 6,473,734 3,236,867 9,710,602 4,855,301 14,565,904 7,282,952 3,641,476 1,820,738 910,369 2,731,108 1,365,554 682,777 2,048,332 1,024,166 512,083 1,536,250 768,125 2,304,376 1,152,188 576,094 288,047 864,142 432,071 1,296,214 648,107 1,944,322 972,161 2,916,484 1,458,242 729,121 2,187,364 1,093,682 546,841 1,640,524 820,262 410,131 1,230,394 615,197 1,845,592 922,796 461,398 230,699 692,098 346,049

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