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Atlas › Integer Profiles › Node 95,025,472

95,025,472

26 × 37 × 40129
Abundant Even Composite

95,025,472 factors as 2^6 × 37 × 40129. Its 28 positive divisors give a proper-divisor sum of 98,641,908, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^6 × 37 × 40129
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 193,667,380
Proper Divisor Sum 98,641,908
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #95025451 ← → #95025473

Radix Representation

Decimal 95025472
Binary 101101010011111100101000000 (27 bits)
Octal 0o552374500
Hexadecimal 0x5A9F940

Divisor Catalog (28)

1 2 4 8 16 32 37 64 74 148 296 592 1,184 2,368 40,129 80,258 160,516 321,032 642,064 1,284,128 1,484,773 2,568,256 2,969,546 5,939,092 11,878,184 23,756,368 47,512,736 95,025,472

Collatz Trajectory (187 steps to reach 1)

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

95,025,472 47,512,736 23,756,368 11,878,184 5,939,092 2,969,546 1,484,773 4,454,320 2,227,160 1,113,580 556,790 278,395 835,186 417,593 1,252,780 626,390 313,195 939,586 469,793 1,409,380 704,690 352,345 1,057,036 528,518 264,259 792,778 396,389 1,189,168 594,584 297,292 148,646 74,323 222,970 111,485 334,456 167,228 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744

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