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5,648,188

22 × 7 × 13 × 59 × 263
Abundant Even Composite

5,648,188 factors as 2^2 × 7 × 13 × 59 × 263. Its 48 positive divisors give a proper-divisor sum of 6,770,372, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 59 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,418,560
Proper Divisor Sum 6,770,372
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5648183 ← → #5648189

Radix Representation

Decimal 5648188
Binary 10101100010111100111100 (23 bits)
Octal 0o25427474
Hexadecimal 0x562F3C

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 59 91 118 182 236 263 364 413 526 767 826 1,052 1,534 1,652 1,841 3,068 3,419 3,682 5,369 6,838 7,364 10,738 13,676 15,517 21,476 23,933 31,034 47,866 62,068 95,732 108,619 201,721 217,238 403,442 434,476 806,884 1,412,047 2,824,094 5,648,188

Collatz Trajectory (108 steps to reach 1)

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

5,648,188 2,824,094 1,412,047 4,236,142 2,118,071 6,354,214 3,177,107 9,531,322 4,765,661 14,296,984 7,148,492 3,574,246 1,787,123 5,361,370 2,680,685 8,042,056 4,021,028 2,010,514 1,005,257 3,015,772 1,507,886 753,943 2,261,830 1,130,915 3,392,746 1,696,373 5,089,120 2,544,560 1,272,280 636,140 318,070 159,035 477,106 238,553 715,660 357,830 178,915 536,746 268,373 805,120 402,560 201,280 100,640 50,320 25,160 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974

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