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Atlas › Integer Profiles › Node 54,575,586

54,575,586

2 × 33 × 13 × 77743
Abundant Even Composite

54,575,586 factors as 2 × 3^3 × 13 × 77743. Its 32 positive divisors give a proper-divisor sum of 76,034,334, so this integer is abundant. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 77743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 130,609,920
Proper Divisor Sum 76,034,334
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #54575519 ← → #54575597

Radix Representation

Decimal 54575586
Binary 11010000001100000111100010 (26 bits)
Octal 0o320140742
Hexadecimal 0x340C1E2

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 77,743 155,486 233,229 466,458 699,687 1,010,659 1,399,374 2,021,318 2,099,061 3,031,977 4,198,122 6,063,954 9,095,931 18,191,862 27,287,793 54,575,586

Collatz Trajectory (287 steps to reach 1)

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

54,575,586 27,287,793 81,863,380 40,931,690 20,465,845 61,397,536 30,698,768 15,349,384 7,674,692 3,837,346 1,918,673 5,756,020 2,878,010 1,439,005 4,317,016 2,158,508 1,079,254 539,627 1,618,882 809,441 2,428,324 1,214,162 607,081 1,821,244 910,622 455,311 1,365,934 682,967 2,048,902 1,024,451 3,073,354 1,536,677 4,610,032 2,305,016 1,152,508 576,254 288,127 864,382 432,191 1,296,574 648,287 1,944,862 972,431 2,917,294 1,458,647 4,375,942 2,187,971 6,563,914 3,281,957 9,845,872 4,922,936 2,461,468 1,230,734 615,367 1,846,102 923,051 2,769,154 1,384,577 4,153,732 2,076,866

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