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Atlas › Integer Profiles › Node 54,076,396

54,076,396

22 × 11 × 317 × 3877
Deficient Even Composite

54,076,396 factors as 2^2 × 11 × 317 × 3877. Its 24 positive divisors give a proper-divisor sum of 49,512,740, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 317 × 3877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,589,136
Proper Divisor Sum 49,512,740
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #54076343 ← → #54076453

Radix Representation

Decimal 54076396
Binary 11001110010010001111101100 (26 bits)
Octal 0o316221754
Hexadecimal 0x33923EC

Divisor Catalog (24)

1 2 4 11 22 44 317 634 1,268 3,487 3,877 6,974 7,754 13,948 15,508 42,647 85,294 170,588 1,229,009 2,458,018 4,916,036 13,519,099 27,038,198 54,076,396

Collatz Trajectory (256 steps to reach 1)

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

54,076,396 27,038,198 13,519,099 40,557,298 20,278,649 60,835,948 30,417,974 15,208,987 45,626,962 22,813,481 68,440,444 34,220,222 17,110,111 51,330,334 25,665,167 76,995,502 38,497,751 115,493,254 57,746,627 173,239,882 86,619,941 259,859,824 129,929,912 64,964,956 32,482,478 16,241,239 48,723,718 24,361,859 73,085,578 36,542,789 109,628,368 54,814,184 27,407,092 13,703,546 6,851,773 20,555,320 10,277,660 5,138,830 2,569,415 7,708,246 3,854,123 11,562,370 5,781,185 17,343,556 8,671,778 4,335,889 13,007,668 6,503,834 3,251,917 9,755,752 4,877,876 2,438,938 1,219,469 3,658,408 1,829,204 914,602 457,301 1,371,904 685,952 342,976

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