λ
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Atlas › Integer Profiles › Node 8,297,296

8,297,296

24 × 7 × 23 × 3221
Abundant Even Composite

8,297,296 factors as 2^4 × 7 × 23 × 3221. Its 40 positive divisors give a proper-divisor sum of 10,880,048, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,177,344
Proper Divisor Sum 10,880,048
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8297279 ← → #8297321

Radix Representation

Decimal 8297296
Binary 11111101001101101010000 (23 bits)
Octal 0o37515520
Hexadecimal 0x7E9B50

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1,288 2,576 3,221 6,442 12,884 22,547 25,768 45,094 51,536 74,083 90,188 148,166 180,376 296,332 360,752 518,581 592,664 1,037,162 1,185,328 2,074,324 4,148,648 8,297,296

Collatz Trajectory (137 steps to reach 1)

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

8,297,296 4,148,648 2,074,324 1,037,162 518,581 1,555,744 777,872 388,936 194,468 97,234 48,617 145,852 72,926 36,463 109,390 54,695 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778

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