54,825,876

2² × 3³ × 7 × 47 × 1543

54,825,876 factors as 2^2 × 3^3 × 7 × 47 × 1543. Its 96 positive divisors give a proper-divisor sum of 111,185,004, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 47 × 1543

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 166,010,880

Proper Divisor Sum 111,185,004

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #54825857 ← → #54825877

Radix Representation

Decimal	54825876
Binary	11010001001001001110010100 (26 bits)
Octal	0o321111624
Hexadecimal	0x3449394

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1,269 1,316 1,543 1,692 1,974 2,538 2,961 3,086 3,948 4,629 5,076 5,922 6,172 8,883 9,258 10,801 11,844 13,887 17,766 18,516 21,602 27,774 32,403 35,532 41,661

Collatz Trajectory (225 steps to reach 1)

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

54,825,876 27,412,938 13,706,469 41,119,408 20,559,704 10,279,852 5,139,926 2,569,963 7,709,890 3,854,945 11,564,836 5,782,418 2,891,209 8,673,628 4,336,814 2,168,407 6,505,222 3,252,611 9,757,834 4,878,917 14,636,752 7,318,376 3,659,188 1,829,594 914,797 2,744,392 1,372,196 686,098 343,049 1,029,148 514,574 257,287 771,862 385,931 1,157,794 578,897 1,736,692 868,346 434,173 1,302,520 651,260 325,630 162,815 488,446 244,223 732,670 366,335 1,099,006 549,503 1,648,510 824,255 2,472,766 1,236,383 3,709,150 1,854,575 5,563,726 2,781,863 8,345,590 4,172,795 12,518,386

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