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Atlas › Integer Profiles › Node 92,425,384

92,425,384

23 × 31 × 193 × 1931
Deficient Even Composite

92,425,384 factors as 2^3 × 31 × 193 × 1931. Its 32 positive divisors give a proper-divisor sum of 87,482,456, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 193 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 179,907,840
Proper Divisor Sum 87,482,456
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #92425381 ← → #92425387

Radix Representation

Decimal 92425384
Binary 101100000100100110010101000 (27 bits)
Octal 0o540446250
Hexadecimal 0x5824CA8

Divisor Catalog (32)

1 2 4 8 31 62 124 193 248 386 772 1,544 1,931 3,862 5,983 7,724 11,966 15,448 23,932 47,864 59,861 119,722 239,444 372,683 478,888 745,366 1,490,732 2,981,464 11,553,173 23,106,346 46,212,692 92,425,384

Collatz Trajectory (125 steps to reach 1)

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

92,425,384 46,212,692 23,106,346 11,553,173 34,659,520 17,329,760 8,664,880 4,332,440 2,166,220 1,083,110 541,555 1,624,666 812,333 2,437,000 1,218,500 609,250 304,625 913,876 456,938 228,469 685,408 342,704 171,352 85,676 42,838 21,419 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716

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