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Atlas › Integer Profiles › Node 92,425,375

92,425,375

53 × 7 × 53 × 1993
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7 × 53 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 134,379,648
Proper Divisor Sum 41,954,273
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #92425337 ← → #92425381

Radix Representation

Decimal 92425375
Binary 101100000100100110010011111 (27 bits)
Octal 0o540446237
Hexadecimal 0x5824C9F

Divisor Catalog (32)

1 5 7 25 35 53 125 175 265 371 875 1,325 1,855 1,993 6,625 9,275 9,965 13,951 46,375 49,825 69,755 105,629 249,125 348,775 528,145 739,403 1,743,875 2,640,725 3,697,015 13,203,625 18,485,075 92,425,375

Collatz Trajectory (355 steps to reach 1)

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

92,425,375 277,276,126 138,638,063 415,914,190 207,957,095 623,871,286 311,935,643 935,806,930 467,903,465 1,403,710,396 701,855,198 350,927,599 1,052,782,798 526,391,399 1,579,174,198 789,587,099 2,368,761,298 1,184,380,649 3,553,141,948 1,776,570,974 888,285,487 2,664,856,462 1,332,428,231 3,997,284,694 1,998,642,347 5,995,927,042 2,997,963,521 8,993,890,564 4,496,945,282 2,248,472,641 6,745,417,924 3,372,708,962 1,686,354,481 5,059,063,444 2,529,531,722 1,264,765,861 3,794,297,584 1,897,148,792 948,574,396 474,287,198 237,143,599 711,430,798 355,715,399 1,067,146,198 533,573,099 1,600,719,298 800,359,649 2,401,078,948 1,200,539,474 600,269,737 1,800,809,212 900,404,606 450,202,303 1,350,606,910 675,303,455 2,025,910,366 1,012,955,183 3,038,865,550 1,519,432,775 4,558,298,326

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