54,001,628

2² × 31 × 271 × 1607

54,001,628 factors as 2^2 × 31 × 271 × 1607. Its 24 positive divisors give a proper-divisor sum of 43,970,596, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 271 × 1607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 97,972,224

Proper Divisor Sum 43,970,596

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #54001613 ← → #54001643

Radix Representation

Decimal	54001628
Binary	11001101111111111111011100 (26 bits)
Octal	0o315777734
Hexadecimal	0x337FFDC

Divisor Catalog (24)

Collatz Trajectory (256 steps to reach 1)

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

54,001,628 27,000,814 13,500,407 40,501,222 20,250,611 60,751,834 30,375,917 91,127,752 45,563,876 22,781,938 11,390,969 34,172,908 17,086,454 8,543,227 25,629,682 12,814,841 38,444,524 19,222,262 9,611,131 28,833,394 14,416,697 43,250,092 21,625,046 10,812,523 32,437,570 16,218,785 48,656,356 24,328,178 12,164,089 36,492,268 18,246,134 9,123,067 27,369,202 13,684,601 41,053,804 20,526,902 10,263,451 30,790,354 15,395,177 46,185,532 23,092,766 11,546,383 34,639,150 17,319,575 51,958,726 25,979,363 77,938,090 38,969,045 116,907,136 58,453,568 29,226,784 14,613,392 7,306,696 3,653,348 1,826,674 913,337 2,740,012 1,370,006 685,003 2,055,010

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