54,828,075

3 × 5² × 731041

54,828,075 factors as 3 × 5^2 × 731041. Its 12 positive divisors give a proper-divisor sum of 35,821,133, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 731041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 90,649,208

Proper Divisor Sum 35,821,133

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #54828073 ← → #54828089

Radix Representation

Decimal	54828075
Binary	11010001001001110000101011 (26 bits)
Octal	0o321116053
Hexadecimal	0x3449C2B

Divisor Catalog (12)

1 3 5 15 25 75 731,041 2,193,123 3,655,205 10,965,615 18,276,025 54,828,075

Collatz Trajectory (181 steps to reach 1)

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

54,828,075 164,484,226 82,242,113 246,726,340 123,363,170 61,681,585 185,044,756 92,522,378 46,261,189 138,783,568 69,391,784 34,695,892 17,347,946 8,673,973 26,021,920 13,010,960 6,505,480 3,252,740 1,626,370 813,185 2,439,556 1,219,778 609,889 1,829,668 914,834 457,417 1,372,252 686,126 343,063 1,029,190 514,595 1,543,786 771,893 2,315,680 1,157,840 578,920 289,460 144,730 72,365 217,096 108,548 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661

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