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8,797,160

23 × 5 × 172 × 761
Abundant Even Composite

8,797,160 factors as 2^3 × 5 × 17^2 × 761. Its 48 positive divisors give a proper-divisor sum of 12,256,900, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17^2 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,054,060
Proper Divisor Sum 12,256,900
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8797153 ← → #8797169

Radix Representation

Decimal 8797160
Binary 100001100011101111101000 (24 bits)
Octal 0o41435750
Hexadecimal 0x863BE8

Divisor Catalog (48)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 761 1,156 1,445 1,522 2,312 2,890 3,044 3,805 5,780 6,088 7,610 11,560 12,937 15,220 25,874 30,440 51,748 64,685 103,496 129,370 219,929 258,740 439,858 517,480 879,716 1,099,645 1,759,432 2,199,290 4,398,580 8,797,160

Collatz Trajectory (243 steps to reach 1)

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

8,797,160 4,398,580 2,199,290 1,099,645 3,298,936 1,649,468 824,734 412,367 1,237,102 618,551 1,855,654 927,827 2,783,482 1,391,741 4,175,224 2,087,612 1,043,806 521,903 1,565,710 782,855 2,348,566 1,174,283 3,522,850 1,761,425 5,284,276 2,642,138 1,321,069 3,963,208 1,981,604 990,802 495,401 1,486,204 743,102 371,551 1,114,654 557,327 1,671,982 835,991 2,507,974 1,253,987 3,761,962 1,880,981 5,642,944 2,821,472 1,410,736 705,368 352,684 176,342 88,171 264,514 132,257 396,772 198,386 99,193 297,580 148,790 74,395 223,186 111,593 334,780

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