λ
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Atlas › Integer Profiles › Node 96,036,050

96,036,050

2 × 52 × 11 × 283 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 283 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 195,871,392
Proper Divisor Sum 99,835,342
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #96036019 ← → #96036097

Radix Representation

Decimal 96036050
Binary 101101110010110010011010010 (27 bits)
Octal 0o556262322
Hexadecimal 0x5B964D2

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 110 275 283 550 566 617 1,234 1,415 2,830 3,085 3,113 6,170 6,226 6,787 7,075 13,574 14,150 15,425 15,565 30,850 31,130 33,935 67,870 77,825 155,650 169,675 174,611 339,350 349,222 873,055 1,746,110 1,920,721 3,841,442 4,365,275 8,730,550 9,603,605 19,207,210 48,018,025 96,036,050

Collatz Trajectory (218 steps to reach 1)

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

96,036,050 48,018,025 144,054,076 72,027,038 36,013,519 108,040,558 54,020,279 162,060,838 81,030,419 243,091,258 121,545,629 364,636,888 182,318,444 91,159,222 45,579,611 136,738,834 68,369,417 205,108,252 102,554,126 51,277,063 153,831,190 76,915,595 230,746,786 115,373,393 346,120,180 173,060,090 86,530,045 259,590,136 129,795,068 64,897,534 32,448,767 97,346,302 48,673,151 146,019,454 73,009,727 219,029,182 109,514,591 328,543,774 164,271,887 492,815,662 246,407,831 739,223,494 369,611,747 1,108,835,242 554,417,621 1,663,252,864 831,626,432 415,813,216 207,906,608 103,953,304 51,976,652 25,988,326 12,994,163 38,982,490 19,491,245 58,473,736 29,236,868 14,618,434 7,309,217 21,927,652

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