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Atlas › Integer Profiles › Node 96,083,008

96,083,008

26 × 7 × 41 × 5231
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 41 × 5231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 223,259,904
Proper Divisor Sum 127,176,896
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #96082957 ← → #96083021

Radix Representation

Decimal 96083008
Binary 101101110100001110001000000 (27 bits)
Octal 0o556416100
Hexadecimal 0x5BA1C40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1,148 1,312 2,296 2,624 4,592 5,231 9,184 10,462 18,368 20,924 36,617 41,848 73,234 83,696 146,468 167,392 214,471 292,936 334,784 428,942 585,872 857,884 1,171,744 1,501,297 1,715,768 2,343,488 3,002,594 3,431,536 6,005,188 6,863,072 12,010,376 13,726,144 24,020,752 48,041,504 96,083,008

Collatz Trajectory (262 steps to reach 1)

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

96,083,008 48,041,504 24,020,752 12,010,376 6,005,188 3,002,594 1,501,297 4,503,892 2,251,946 1,125,973 3,377,920 1,688,960 844,480 422,240 211,120 105,560 52,780 26,390 13,195 39,586 19,793 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594

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