27,353,240

2³ × 5 × 683831

27,353,240 factors as 2^3 × 5 × 683831. Its 16 positive divisors give a proper-divisor sum of 34,191,640, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 683831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,544,880

Proper Divisor Sum 34,191,640

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #27353239 ← → #27353243

Radix Representation

Decimal	27353240
Binary	1101000010110000010011000 (25 bits)
Octal	0o150260230
Hexadecimal	0x1A16098

Divisor Catalog (16)

1 2 4 5 8 10 20 40 683,831 1,367,662 2,735,324 3,419,155 5,470,648 6,838,310 13,676,620 27,353,240

Collatz Trajectory (224 steps to reach 1)

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

27,353,240 13,676,620 6,838,310 3,419,155 10,257,466 5,128,733 15,386,200 7,693,100 3,846,550 1,923,275 5,769,826 2,884,913 8,654,740 4,327,370 2,163,685 6,491,056 3,245,528 1,622,764 811,382 405,691 1,217,074 608,537 1,825,612 912,806 456,403 1,369,210 684,605 2,053,816 1,026,908 513,454 256,727 770,182 385,091 1,155,274 577,637 1,732,912 866,456 433,228 216,614 108,307 324,922 162,461 487,384 243,692 121,846 60,923 182,770 91,385 274,156 137,078 68,539 205,618 102,809 308,428 154,214 77,107 231,322 115,661 346,984 173,492

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