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Atlas › Integer Profiles › Node 57,770,482

57,770,482

2 × 7 × 112 × 67 × 509
Deficient Even Composite

57,770,482 factors as 2 × 7 × 11^2 × 67 × 509. Its 48 positive divisors give a proper-divisor sum of 52,928,078, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 67 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,698,560
Proper Divisor Sum 52,928,078
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57770443 ← → #57770491

Radix Representation

Decimal 57770482
Binary 11011100011000000111110010 (26 bits)
Octal 0o334300762
Hexadecimal 0x37181F2

Divisor Catalog (48)

1 2 7 11 14 22 67 77 121 134 154 242 469 509 737 847 938 1,018 1,474 1,694 3,563 5,159 5,599 7,126 8,107 10,318 11,198 16,214 34,103 39,193 56,749 61,589 68,206 78,386 113,498 123,178 238,721 375,133 431,123 477,442 750,266 862,246 2,625,931 4,126,463 5,251,862 8,252,926 28,885,241 57,770,482

Collatz Trajectory (119 steps to reach 1)

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

57,770,482 28,885,241 86,655,724 43,327,862 21,663,931 64,991,794 32,495,897 97,487,692 48,743,846 24,371,923 73,115,770 36,557,885 109,673,656 54,836,828 27,418,414 13,709,207 41,127,622 20,563,811 61,691,434 30,845,717 92,537,152 46,268,576 23,134,288 11,567,144 5,783,572 2,891,786 1,445,893 4,337,680 2,168,840 1,084,420 542,210 271,105 813,316 406,658 203,329 609,988 304,994 152,497 457,492 228,746 114,373 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283

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