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Atlas › Integer Profiles › Node 54,303,776

54,303,776

25 × 29 × 163 × 359
Abundant Even Composite

54,303,776 factors as 2^5 × 29 × 163 × 359. Its 48 positive divisors give a proper-divisor sum of 57,281,824, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 163 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 111,585,600
Proper Divisor Sum 57,281,824
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #54303773 ← → #54303779

Radix Representation

Decimal 54303776
Binary 11001111001001110000100000 (26 bits)
Octal 0o317116040
Hexadecimal 0x33C9C20

Divisor Catalog (48)

1 2 4 8 16 29 32 58 116 163 232 326 359 464 652 718 928 1,304 1,436 2,608 2,872 4,727 5,216 5,744 9,454 10,411 11,488 18,908 20,822 37,816 41,644 58,517 75,632 83,288 117,034 151,264 166,576 234,068 333,152 468,136 936,272 1,696,993 1,872,544 3,393,986 6,787,972 13,575,944 27,151,888 54,303,776

Collatz Trajectory (168 steps to reach 1)

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

54,303,776 27,151,888 13,575,944 6,787,972 3,393,986 1,696,993 5,090,980 2,545,490 1,272,745 3,818,236 1,909,118 954,559 2,863,678 1,431,839 4,295,518 2,147,759 6,443,278 3,221,639 9,664,918 4,832,459 14,497,378 7,248,689 21,746,068 10,873,034 5,436,517 16,309,552 8,154,776 4,077,388 2,038,694 1,019,347 3,058,042 1,529,021 4,587,064 2,293,532 1,146,766 573,383 1,720,150 860,075 2,580,226 1,290,113 3,870,340 1,935,170 967,585 2,902,756 1,451,378 725,689 2,177,068 1,088,534 544,267 1,632,802 816,401 2,449,204 1,224,602 612,301 1,836,904 918,452 459,226 229,613 688,840 344,420

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