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8,480,960

26 × 5 × 17 × 1559
Abundant Even Composite

8,480,960 factors as 2^6 × 5 × 17 × 1559. Its 56 positive divisors give a proper-divisor sum of 12,916,000, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 1559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 21,396,960
Proper Divisor Sum 12,916,000
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8480959 ← → #8480971

Radix Representation

Decimal 8480960
Binary 100000010110100011000000 (24 bits)
Octal 0o40264300
Hexadecimal 0x8168C0

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1,088 1,360 1,559 2,720 3,118 5,440 6,236 7,795 12,472 15,590 24,944 26,503 31,180 49,888 53,006 62,360 99,776 106,012 124,720 132,515 212,024 249,440 265,030 424,048 498,880 530,060 848,096 1,060,120 1,696,192 2,120,240 4,240,480 8,480,960

Collatz Trajectory (106 steps to reach 1)

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

8,480,960 4,240,480 2,120,240 1,060,120 530,060 265,030 132,515 397,546 198,773 596,320 298,160 149,080 74,540 37,270 18,635 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824

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