54,675,484

2² × 67 × 204013

54,675,484 factors as 2^2 × 67 × 204013. Its 12 positive divisors give a proper-divisor sum of 42,435,180, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 204013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 97,110,664

Proper Divisor Sum 42,435,180

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #54675479 ← → #54675493

Radix Representation

Decimal	54675484
Binary	11010000100100100000011100 (26 bits)
Octal	0o320444034
Hexadecimal	0x342481C

Divisor Catalog (12)

1 2 4 67 134 268 204,013 408,026 816,052 13,668,871 27,337,742 54,675,484

Collatz Trajectory (243 steps to reach 1)

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

54,675,484 27,337,742 13,668,871 41,006,614 20,503,307 61,509,922 30,754,961 92,264,884 46,132,442 23,066,221 69,198,664 34,599,332 17,299,666 8,649,833 25,949,500 12,974,750 6,487,375 19,462,126 9,731,063 29,193,190 14,596,595 43,789,786 21,894,893 65,684,680 32,842,340 16,421,170 8,210,585 24,631,756 12,315,878 6,157,939 18,473,818 9,236,909 27,710,728 13,855,364 6,927,682 3,463,841 10,391,524 5,195,762 2,597,881 7,793,644 3,896,822 1,948,411 5,845,234 2,922,617 8,767,852 4,383,926 2,191,963 6,575,890 3,287,945 9,863,836 4,931,918 2,465,959 7,397,878 3,698,939 11,096,818 5,548,409 16,645,228 8,322,614 4,161,307 12,483,922

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