18,013,520

2⁴ × 5 × 7 × 19 × 1693

18,013,520 factors as 2^4 × 5 × 7 × 19 × 1693. Its 80 positive divisors give a proper-divisor sum of 32,399,920, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 19 × 1693

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 50,413,440

Proper Divisor Sum 32,399,920

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #18013507 ← → #18013529

Radix Representation

Decimal	18013520
Binary	1000100101101110101010000 (25 bits)
Octal	0o104556520
Hexadecimal	0x112DD50

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1,064 1,330 1,520 1,693 2,128 2,660 3,386 5,320 6,772 8,465 10,640 11,851 13,544 16,930 23,702 27,088 32,167 33,860 47,404 59,255 64,334 67,720 94,808 118,510 128,668 135,440 160,835

Collatz Trajectory (138 steps to reach 1)

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

18,013,520 9,006,760 4,503,380 2,251,690 1,125,845 3,377,536 1,688,768 844,384 422,192 211,096 105,548 52,774 26,387 79,162 39,581 118,744 59,372 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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