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Atlas › Integer Profiles › Node 96,258,560

96,258,560

29 × 5 × 19 × 1979
Abundant Even Composite

96,258,560 factors as 2^9 × 5 × 19 × 1979. Its 80 positive divisors give a proper-divisor sum of 146,806,240, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^9 × 5 × 19 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 243,064,800
Proper Divisor Sum 146,806,240
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #96258551 ← → #96258581

Radix Representation

Decimal 96258560
Binary 101101111001100101000000000 (27 bits)
Octal 0o557145000
Hexadecimal 0x5BCCA00

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1,216 1,280 1,520 1,979 2,432 2,560 3,040 3,958 4,864 6,080 7,916 9,728 9,895 12,160 15,832 19,790 24,320 31,664 37,601 39,580 48,640 63,328 75,202 79,160 126,656 150,404 158,320 188,005 253,312 300,808 316,640 376,010

Collatz Trajectory (156 steps to reach 1)

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

96,258,560 48,129,280 24,064,640 12,032,320 6,016,160 3,008,080 1,504,040 752,020 376,010 188,005 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

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