λ
Prime Ledger

8,689,788

22 × 33 × 17 × 4733
Abundant Even Composite

8,689,788 has the prime decomposition 2^2 × 3^3 × 17 × 4733. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 4733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,859,360
Proper Divisor Sum 15,169,572
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #8689777 ← → #8689799

Radix Representation

Decimal 8689788
Binary 100001001001100001111100 (24 bits)
Octal 0o41114174
Hexadecimal 0x84987C

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,836 4,733 9,466 14,199 18,932 28,398 42,597 56,796 80,461 85,194 127,791 160,922 170,388 241,383 255,582 321,844 482,766 511,164 724,149 965,532 1,448,298 2,172,447 2,896,596 4,344,894 8,689,788

Collatz Trajectory (119 steps to reach 1)

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

8,689,788 4,344,894 2,172,447 6,517,342 3,258,671 9,776,014 4,888,007 14,664,022 7,332,011 21,996,034 10,998,017 32,994,052 16,497,026 8,248,513 24,745,540 12,372,770 6,186,385 18,559,156 9,279,578 4,639,789 13,919,368 6,959,684 3,479,842 1,739,921 5,219,764 2,609,882 1,304,941 3,914,824 1,957,412 978,706 489,353 1,468,060 734,030 367,015 1,101,046 550,523 1,651,570 825,785 2,477,356 1,238,678 619,339 1,858,018 929,009 2,787,028 1,393,514 696,757 2,090,272 1,045,136 522,568 261,284 130,642 65,321 195,964 97,982 48,991 146,974 73,487 220,462 110,231 330,694

More profiles

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