λ
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Atlas › Integer Profiles › Node 54,047,060

54,047,060

22 × 5 × 792 × 433
Abundant Even Composite

54,047,060 factors as 2^2 × 5 × 79^2 × 433. Its 36 positive divisors give a proper-divisor sum of 61,172,128, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 79^2 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 115,219,188
Proper Divisor Sum 61,172,128
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #54047053 ← → #54047069

Radix Representation

Decimal 54047060
Binary 11001110001011000101010100 (26 bits)
Octal 0o316130524
Hexadecimal 0x338B154

Divisor Catalog (36)

1 2 4 5 10 20 79 158 316 395 433 790 866 1,580 1,732 2,165 4,330 6,241 8,660 12,482 24,964 31,205 34,207 62,410 68,414 124,820 136,828 171,035 342,070 684,140 2,702,353 5,404,706 10,809,412 13,511,765 27,023,530 54,047,060

Collatz Trajectory (88 steps to reach 1)

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

54,047,060 27,023,530 13,511,765 40,535,296 20,267,648 10,133,824 5,066,912 2,533,456 1,266,728 633,364 316,682 158,341 475,024 237,512 118,756 59,378 29,689 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588

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