λ
Ratio Atlas

57,735,931

11 × 1129 × 4649
Deficient Odd Composite

57,735,931 factors as 11 × 1129 × 4649. Its 8 positive divisors give a proper-divisor sum of 5,318,069, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 11 × 1129 × 4649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 63,054,000
Proper Divisor Sum 5,318,069
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57735871 ← → #57735949

Radix Representation

Decimal 57735931
Binary 11011100001111101011111011 (26 bits)
Octal 0o334175373
Hexadecimal 0x370FAFB

Divisor Catalog (8)

Collatz Trajectory (119 steps to reach 1)

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

57,735,931 173,207,794 86,603,897 259,811,692 129,905,846 64,952,923 194,858,770 97,429,385 292,288,156 146,144,078 73,072,039 219,216,118 109,608,059 328,824,178 164,412,089 493,236,268 246,618,134 123,309,067 369,927,202 184,963,601 554,890,804 277,445,402 138,722,701 416,168,104 208,084,052 104,042,026 52,021,013 156,063,040 78,031,520 39,015,760 19,507,880 9,753,940 4,876,970 2,438,485 7,315,456 3,657,728 1,828,864 914,432 457,216 228,608 114,304 57,152 28,576 14,288 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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