7,187,742

2 × 3² × 197 × 2027

7,187,742 is even and not a perfect square. Its factorization is 2 × 3^2 × 197 × 2027 and its 24 divisors sum to 15,660,216.

Prime Factor Structure

Factorization String 2 × 3^2 × 197 × 2027

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,660,216

Proper Divisor Sum 8,472,474

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7187683 ← → #7187743

Radix Representation

Decimal	7187742
Binary	11011011010110100011110 (23 bits)
Octal	0o33326436
Hexadecimal	0x6DAD1E

Divisor Catalog (24)

Collatz Trajectory (235 steps to reach 1)

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

7,187,742 3,593,871 10,781,614 5,390,807 16,172,422 8,086,211 24,258,634 12,129,317 36,387,952 18,193,976 9,096,988 4,548,494 2,274,247 6,822,742 3,411,371 10,234,114 5,117,057 15,351,172 7,675,586 3,837,793 11,513,380 5,756,690 2,878,345 8,635,036 4,317,518 2,158,759 6,476,278 3,238,139 9,714,418 4,857,209 14,571,628 7,285,814 3,642,907 10,928,722 5,464,361 16,393,084 8,196,542 4,098,271 12,294,814 6,147,407 18,442,222 9,221,111 27,663,334 13,831,667 41,495,002 20,747,501 62,242,504 31,121,252 15,560,626 7,780,313 23,340,940 11,670,470 5,835,235 17,505,706 8,752,853 26,258,560 13,129,280 6,564,640 3,282,320 1,641,160

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