λ
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8,769,880

23 × 5 × 7 × 31321
Abundant Even Composite

8,769,880 factors as 2^3 × 5 × 7 × 31321. Its 32 positive divisors give a proper-divisor sum of 13,781,960, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 31321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,551,840
Proper Divisor Sum 13,781,960
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8769853 ← → #8769883

Radix Representation

Decimal 8769880
Binary 100001011101000101011000 (24 bits)
Octal 0o41350530
Hexadecimal 0x85D158

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 31,321 62,642 125,284 156,605 219,247 250,568 313,210 438,494 626,420 876,988 1,096,235 1,252,840 1,753,976 2,192,470 4,384,940 8,769,880

Collatz Trajectory (62 steps to reach 1)

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

8,769,880 4,384,940 2,192,470 1,096,235 3,288,706 1,644,353 4,933,060 2,466,530 1,233,265 3,699,796 1,849,898 924,949 2,774,848 1,387,424 693,712 346,856 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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