λ
Ratio Atlas

54,048,937

54048937
Deficient Odd Prime

54,048,937 factors as 54048937. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 54048937
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 54,048,938
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #54048931 ← → #54048949

Radix Representation

Decimal 54048937
Binary 11001110001011100010101001 (26 bits)
Octal 0o316134251
Hexadecimal 0x338B8A9

Divisor Catalog (2)

Collatz Trajectory (256 steps to reach 1)

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

54,048,937 162,146,812 81,073,406 40,536,703 121,610,110 60,805,055 182,415,166 91,207,583 273,622,750 136,811,375 410,434,126 205,217,063 615,651,190 307,825,595 923,476,786 461,738,393 1,385,215,180 692,607,590 346,303,795 1,038,911,386 519,455,693 1,558,367,080 779,183,540 389,591,770 194,795,885 584,387,656 292,193,828 146,096,914 73,048,457 219,145,372 109,572,686 54,786,343 164,359,030 82,179,515 246,538,546 123,269,273 369,807,820 184,903,910 92,451,955 277,355,866 138,677,933 416,033,800 208,016,900 104,008,450 52,004,225 156,012,676 78,006,338 39,003,169 117,009,508 58,504,754 29,252,377 87,757,132 43,878,566 21,939,283 65,817,850 32,908,925 98,726,776 49,363,388 24,681,694 12,340,847

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