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Atlas › Integer Profiles › Node 54,075,402

54,075,402

2 × 32 × 17 × 61 × 2897
Abundant Even Composite

54,075,402 factors as 2 × 3^2 × 17 × 61 × 2897. Its 48 positive divisors give a proper-divisor sum of 72,057,150, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 61 × 2897
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 126,132,552
Proper Divisor Sum 72,057,150
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #54075367 ← → #54075403

Radix Representation

Decimal 54075402
Binary 11001110010010000000001010 (26 bits)
Octal 0o316220012
Hexadecimal 0x339200A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1,037 1,098 2,074 2,897 3,111 5,794 6,222 8,691 9,333 17,382 18,666 26,073 49,249 52,146 98,498 147,747 176,717 295,494 353,434 443,241 530,151 886,482 1,060,302 1,590,453 3,004,189 3,180,906 6,008,378 9,012,567 18,025,134 27,037,701 54,075,402

Collatz Trajectory (181 steps to reach 1)

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

54,075,402 27,037,701 81,113,104 40,556,552 20,278,276 10,139,138 5,069,569 15,208,708 7,604,354 3,802,177 11,406,532 5,703,266 2,851,633 8,554,900 4,277,450 2,138,725 6,416,176 3,208,088 1,604,044 802,022 401,011 1,203,034 601,517 1,804,552 902,276 451,138 225,569 676,708 338,354 169,177 507,532 253,766 126,883 380,650 190,325 570,976 285,488 142,744 71,372 35,686 17,843 53,530 26,765 80,296 40,148 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265

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