λ
Ratio Atlas

54,565,372

22 × 521 × 26183
Deficient Even Composite

54,565,372 factors as 2^2 × 521 × 26183. Its 12 positive divisors give a proper-divisor sum of 41,110,964, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 521 × 26183
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 95,676,336
Proper Divisor Sum 41,110,964
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #54565369 ← → #54565387

Radix Representation

Decimal 54565372
Binary 11010000001001100111111100 (26 bits)
Octal 0o320114774
Hexadecimal 0x34099FC

Divisor Catalog (12)

Collatz Trajectory (137 steps to reach 1)

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

54,565,372 27,282,686 13,641,343 40,924,030 20,462,015 61,386,046 30,693,023 92,079,070 46,039,535 138,118,606 69,059,303 207,177,910 103,588,955 310,766,866 155,383,433 466,150,300 233,075,150 116,537,575 349,612,726 174,806,363 524,419,090 262,209,545 786,628,636 393,314,318 196,657,159 589,971,478 294,985,739 884,957,218 442,478,609 1,327,435,828 663,717,914 331,858,957 995,576,872 497,788,436 248,894,218 124,447,109 373,341,328 186,670,664 93,335,332 46,667,666 23,333,833 70,001,500 35,000,750 17,500,375 52,501,126 26,250,563 78,751,690 39,375,845 118,127,536 59,063,768 29,531,884 14,765,942 7,382,971 22,148,914 11,074,457 33,223,372 16,611,686 8,305,843 24,917,530 12,458,765

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