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Atlas › Integer Profiles › Node 54,123,786

54,123,786

2 × 32 × 1097 × 2741
Abundant Even Composite

54,123,786 factors as 2 × 3^2 × 1097 × 2741. Its 24 positive divisors give a proper-divisor sum of 63,294,138, so this integer is abundant. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1097 × 2741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,417,924
Proper Divisor Sum 63,294,138
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #54123763 ← → #54123787

Radix Representation

Decimal 54123786
Binary 11001110011101110100001010 (26 bits)
Octal 0o316356412
Hexadecimal 0x339DD0A

Divisor Catalog (24)

1 2 3 6 9 18 1,097 2,194 2,741 3,291 5,482 6,582 8,223 9,873 16,446 19,746 24,669 49,338 3,006,877 6,013,754 9,020,631 18,041,262 27,061,893 54,123,786

Collatz Trajectory (318 steps to reach 1)

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

54,123,786 27,061,893 81,185,680 40,592,840 20,296,420 10,148,210 5,074,105 15,222,316 7,611,158 3,805,579 11,416,738 5,708,369 17,125,108 8,562,554 4,281,277 12,843,832 6,421,916 3,210,958 1,605,479 4,816,438 2,408,219 7,224,658 3,612,329 10,836,988 5,418,494 2,709,247 8,127,742 4,063,871 12,191,614 6,095,807 18,287,422 9,143,711 27,431,134 13,715,567 41,146,702 20,573,351 61,720,054 30,860,027 92,580,082 46,290,041 138,870,124 69,435,062 34,717,531 104,152,594 52,076,297 156,228,892 78,114,446 39,057,223 117,171,670 58,585,835 175,757,506 87,878,753 263,636,260 131,818,130 65,909,065 197,727,196 98,863,598 49,431,799 148,295,398 74,147,699

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