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Atlas › Integer Profiles › Node 8,985,288

8,985,288

23 × 3 × 13 × 31 × 929
Abundant Even Composite

8,985,288 factors as 2^3 × 3 × 13 × 31 × 929. Its 64 positive divisors give a proper-divisor sum of 16,013,112, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 31 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,998,400
Proper Divisor Sum 16,013,112
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8985283 ← → #8985289

Radix Representation

Decimal 8985288
Binary 100010010001101011001000 (24 bits)
Octal 0o42215310
Hexadecimal 0x891AC8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 929 1,209 1,612 1,858 2,418 2,787 3,224 3,716 4,836 5,574 7,432 9,672 11,148 12,077 22,296 24,154 28,799 36,231 48,308 57,598 72,462 86,397 96,616 115,196 144,924 172,794 230,392 289,848 345,588 374,387 691,176 748,774 1,123,161 1,497,548

Collatz Trajectory (212 steps to reach 1)

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

8,985,288 4,492,644 2,246,322 1,123,161 3,369,484 1,684,742 842,371 2,527,114 1,263,557 3,790,672 1,895,336 947,668 473,834 236,917 710,752 355,376 177,688 88,844 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503

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