λ
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7,911,080

23 × 5 × 23 × 8599
Abundant Even Composite

7,911,080 factors as 2^3 × 5 × 23 × 8599. Its 32 positive divisors give a proper-divisor sum of 10,664,920, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 8599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,576,000
Proper Divisor Sum 10,664,920
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7911077 ← → #7911089

Radix Representation

Decimal 7911080
Binary 11110001011011010101000 (23 bits)
Octal 0o36133250
Hexadecimal 0x78B6A8

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 8,599 17,198 34,396 42,995 68,792 85,990 171,980 197,777 343,960 395,554 791,108 988,885 1,582,216 1,977,770 3,955,540 7,911,080

Collatz Trajectory (67 steps to reach 1)

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

7,911,080 3,955,540 1,977,770 988,885 2,966,656 1,483,328 741,664 370,832 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40

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