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Atlas › Integer Profiles › Node 96,286,240

96,286,240

25 × 5 × 109 × 5521
Abundant Even Composite

96,286,240 factors as 2^5 × 5 × 109 × 5521. Its 48 positive divisors give a proper-divisor sum of 133,318,520, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 109 × 5521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 229,604,760
Proper Divisor Sum 133,318,520
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #96286189 ← → #96286241

Radix Representation

Decimal 96286240
Binary 101101111010011011000100000 (27 bits)
Octal 0o557233040
Hexadecimal 0x5BD3620

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1,090 1,744 2,180 3,488 4,360 5,521 8,720 11,042 17,440 22,084 27,605 44,168 55,210 88,336 110,420 176,672 220,840 441,680 601,789 883,360 1,203,578 2,407,156 3,008,945 4,814,312 6,017,890 9,628,624 12,035,780 19,257,248 24,071,560 48,143,120 96,286,240

Collatz Trajectory (169 steps to reach 1)

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

96,286,240 48,143,120 24,071,560 12,035,780 6,017,890 3,008,945 9,026,836 4,513,418 2,256,709 6,770,128 3,385,064 1,692,532 846,266 423,133 1,269,400 634,700 317,350 158,675 476,026 238,013 714,040 357,020 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120 965,060 482,530 241,265 723,796 361,898 180,949 542,848 271,424 135,712 67,856 33,928 16,964

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