λ
Ratio Atlas

7,593,042

2 × 3 × 991 × 1277
Abundant Even Composite

7,593,042 factors as 2 × 3 × 991 × 1277. Its 16 positive divisors give a proper-divisor sum of 7,620,270, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3 × 991 × 1277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,213,312
Proper Divisor Sum 7,620,270
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7593023 ← → #7593119

Radix Representation

Decimal 7593042
Binary 11100111101110001010010 (23 bits)
Octal 0o34756122
Hexadecimal 0x73DC52

Divisor Catalog (16)

1 2 3 6 991 1,277 1,982 2,554 2,973 3,831 5,946 7,662 1,265,507 2,531,014 3,796,521 7,593,042

Collatz Trajectory (129 steps to reach 1)

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

7,593,042 3,796,521 11,389,564 5,694,782 2,847,391 8,542,174 4,271,087 12,813,262 6,406,631 19,219,894 9,609,947 28,829,842 14,414,921 43,244,764 21,622,382 10,811,191 32,433,574 16,216,787 48,650,362 24,325,181 72,975,544 36,487,772 18,243,886 9,121,943 27,365,830 13,682,915 41,048,746 20,524,373 61,573,120 30,786,560 15,393,280 7,696,640 3,848,320 1,924,160 962,080 481,040 240,520 120,260 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340

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