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Atlas › Integer Profiles › Node 95,975,225

95,975,225

52 × 31 × 37 × 3347
Deficient Odd Composite

95,975,225 factors as 5^2 × 31 × 37 × 3347. Its 24 positive divisors give a proper-divisor sum of 30,230,983, so this integer is deficient. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 37 × 3347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 126,206,208
Proper Divisor Sum 30,230,983
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #95975189 ← → #95975227

Radix Representation

Decimal 95975225
Binary 101101110000111011100111001 (27 bits)
Octal 0o556073471
Hexadecimal 0x5B87739

Divisor Catalog (24)

1 5 25 31 37 155 185 775 925 1,147 3,347 5,735 16,735 28,675 83,675 103,757 123,839 518,785 619,195 2,593,925 3,095,975 3,839,009 19,195,045 95,975,225

Collatz Trajectory (262 steps to reach 1)

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

95,975,225 287,925,676 143,962,838 71,981,419 215,944,258 107,972,129 323,916,388 161,958,194 80,979,097 242,937,292 121,468,646 60,734,323 182,202,970 91,101,485 273,304,456 136,652,228 68,326,114 34,163,057 102,489,172 51,244,586 25,622,293 76,866,880 38,433,440 19,216,720 9,608,360 4,804,180 2,402,090 1,201,045 3,603,136 1,801,568 900,784 450,392 225,196 112,598 56,299 168,898 84,449 253,348 126,674 63,337 190,012 95,006 47,503 142,510 71,255 213,766 106,883 320,650 160,325 480,976 240,488 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910

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