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Atlas › Integer Profiles › Node 75,865,736

75,865,736

23 × 89 × 127 × 839
Deficient Even Composite

75,865,736 factors as 2^3 × 89 × 127 × 839. Its 32 positive divisors give a proper-divisor sum of 69,286,264, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 89 × 127 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 145,152,000
Proper Divisor Sum 69,286,264
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #75865733 ← → #75865739

Radix Representation

Decimal 75865736
Binary 100100001011001111010001000 (27 bits)
Octal 0o441317210
Hexadecimal 0x4859E88

Divisor Catalog (32)

1 2 4 8 89 127 178 254 356 508 712 839 1,016 1,678 3,356 6,712 11,303 22,606 45,212 74,671 90,424 106,553 149,342 213,106 298,684 426,212 597,368 852,424 9,483,217 18,966,434 37,932,868 75,865,736

Collatz Trajectory (135 steps to reach 1)

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

75,865,736 37,932,868 18,966,434 9,483,217 28,449,652 14,224,826 7,112,413 21,337,240 10,668,620 5,334,310 2,667,155 8,001,466 4,000,733 12,002,200 6,001,100 3,000,550 1,500,275 4,500,826 2,250,413 6,751,240 3,375,620 1,687,810 843,905 2,531,716 1,265,858 632,929 1,898,788 949,394 474,697 1,424,092 712,046 356,023 1,068,070 534,035 1,602,106 801,053 2,403,160 1,201,580 600,790 300,395 901,186 450,593 1,351,780 675,890 337,945 1,013,836 506,918 253,459 760,378 380,189 1,140,568 570,284 285,142 142,571 427,714 213,857 641,572 320,786 160,393 481,180

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