λ
Ratio Atlas

54,757,565

5 × 61 × 179533
Deficient Odd Composite

54,757,565 factors as 5 × 61 × 179533. Its 8 positive divisors give a proper-divisor sum of 12,029,083, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 5 × 61 × 179533
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 66,786,648
Proper Divisor Sum 12,029,083
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #54757537 ← → #54757589

Radix Representation

Decimal 54757565
Binary 11010000111000100010111101 (26 bits)
Octal 0o320704275
Hexadecimal 0x34388BD

Divisor Catalog (8)

Collatz Trajectory (168 steps to reach 1)

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

54,757,565 164,272,696 82,136,348 41,068,174 20,534,087 61,602,262 30,801,131 92,403,394 46,201,697 138,605,092 69,302,546 34,651,273 103,953,820 51,976,910 25,988,455 77,965,366 38,982,683 116,948,050 58,474,025 175,422,076 87,711,038 43,855,519 131,566,558 65,783,279 197,349,838 98,674,919 296,024,758 148,012,379 444,037,138 222,018,569 666,055,708 333,027,854 166,513,927 499,541,782 249,770,891 749,312,674 374,656,337 1,123,969,012 561,984,506 280,992,253 842,976,760 421,488,380 210,744,190 105,372,095 316,116,286 158,058,143 474,174,430 237,087,215 711,261,646 355,630,823 1,066,892,470 533,446,235 1,600,338,706 800,169,353 2,400,508,060 1,200,254,030 600,127,015 1,800,381,046 900,190,523 2,700,571,570

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