54,001,093

37 × 73 × 19993

54,001,093 factors as 37 × 73 × 19993. Its 8 positive divisors give a proper-divisor sum of 2,222,035, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 37 × 73 × 19993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 56,223,128

Proper Divisor Sum 2,222,035

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #54001091 ← → #54001099

Radix Representation

Decimal	54001093
Binary	11001101111111110111000101 (26 bits)
Octal	0o315776705
Hexadecimal	0x337FDC5

Divisor Catalog (8)

1 37 73 2,701 19,993 739,741 1,459,489 54,001,093

Collatz Trajectory (137 steps to reach 1)

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

54,001,093 162,003,280 81,001,640 40,500,820 20,250,410 10,125,205 30,375,616 15,187,808 7,593,904 3,796,952 1,898,476 949,238 474,619 1,423,858 711,929 2,135,788 1,067,894 533,947 1,601,842 800,921 2,402,764 1,201,382 600,691 1,802,074 901,037 2,703,112 1,351,556 675,778 337,889 1,013,668 506,834 253,417 760,252 380,126 190,063 570,190 285,095 855,286 427,643 1,282,930 641,465 1,924,396 962,198 481,099 1,443,298 721,649 2,164,948 1,082,474 541,237 1,623,712 811,856 405,928 202,964 101,482 50,741 152,224 76,112 38,056 19,028 9,514

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