λ
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7,301,896

23 × 7 × 101 × 1291
Abundant Even Composite

7,301,896 factors as 2^3 × 7 × 101 × 1291. Its 32 positive divisors give a proper-divisor sum of 8,512,184, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 101 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,814,080
Proper Divisor Sum 8,512,184
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7301893 ← → #7301897

Radix Representation

Decimal 7301896
Binary 11011110110101100001000 (23 bits)
Octal 0o33665410
Hexadecimal 0x6F6B08

Divisor Catalog (32)

1 2 4 7 8 14 28 56 101 202 404 707 808 1,291 1,414 2,582 2,828 5,164 5,656 9,037 10,328 18,074 36,148 72,296 130,391 260,782 521,564 912,737 1,043,128 1,825,474 3,650,948 7,301,896

Collatz Trajectory (85 steps to reach 1)

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

7,301,896 3,650,948 1,825,474 912,737 2,738,212 1,369,106 684,553 2,053,660 1,026,830 513,415 1,540,246 770,123 2,310,370 1,155,185 3,465,556 1,732,778 866,389 2,599,168 1,299,584 649,792 324,896 162,448 81,224 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720

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