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Atlas › Integer Profiles › Node 54,506,182

54,506,182

2 × 17 × 23 × 47 × 1483
Deficient Even Composite

54,506,182 factors as 2 × 17 × 23 × 47 × 1483. Its 32 positive divisors give a proper-divisor sum of 37,810,490, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 47 × 1483
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,316,672
Proper Divisor Sum 37,810,490
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #54506149 ← → #54506197

Radix Representation

Decimal 54506182
Binary 11001111111011001011000110 (26 bits)
Octal 0o317731306
Hexadecimal 0x33FB2C6

Divisor Catalog (32)

1 2 17 23 34 46 47 94 391 782 799 1,081 1,483 1,598 2,162 2,966 18,377 25,211 34,109 36,754 50,422 68,218 69,701 139,402 579,853 1,159,706 1,184,917 1,603,123 2,369,834 3,206,246 27,253,091 54,506,182

Collatz Trajectory (119 steps to reach 1)

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

54,506,182 27,253,091 81,759,274 40,879,637 122,638,912 61,319,456 30,659,728 15,329,864 7,664,932 3,832,466 1,916,233 5,748,700 2,874,350 1,437,175 4,311,526 2,155,763 6,467,290 3,233,645 9,700,936 4,850,468 2,425,234 1,212,617 3,637,852 1,818,926 909,463 2,728,390 1,364,195 4,092,586 2,046,293 6,138,880 3,069,440 1,534,720 767,360 383,680 191,840 95,920 47,960 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610

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