λ
Ratio Atlas

5,994,500

22 × 53 × 19 × 631
Abundant Even Composite

5,994,500 factors as 2^2 × 5^3 × 19 × 631. Its 48 positive divisors give a proper-divisor sum of 7,808,380, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 19 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,802,880
Proper Divisor Sum 7,808,380
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5994491 ← → #5994511

Radix Representation

Decimal 5994500
Binary 10110110111100000000100 (23 bits)
Octal 0o26674004
Hexadecimal 0x5B7804

Divisor Catalog (48)

1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 631 950 1,262 1,900 2,375 2,524 3,155 4,750 6,310 9,500 11,989 12,620 15,775 23,978 31,550 47,956 59,945 63,100 78,875 119,890 157,750 239,780 299,725 315,500 599,450 1,198,900 1,498,625 2,997,250 5,994,500

Collatz Trajectory (183 steps to reach 1)

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

5,994,500 2,997,250 1,498,625 4,495,876 2,247,938 1,123,969 3,371,908 1,685,954 842,977 2,528,932 1,264,466 632,233 1,896,700 948,350 474,175 1,422,526 711,263 2,133,790 1,066,895 3,200,686 1,600,343 4,801,030 2,400,515 7,201,546 3,600,773 10,802,320 5,401,160 2,700,580 1,350,290 675,145 2,025,436 1,012,718 506,359 1,519,078 759,539 2,278,618 1,139,309 3,417,928 1,708,964 854,482 427,241 1,281,724 640,862 320,431 961,294 480,647 1,441,942 720,971 2,162,914 1,081,457 3,244,372 1,622,186 811,093 2,433,280 1,216,640 608,320 304,160 152,080 76,040 38,020

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