9,437,280

2⁵ × 3 × 5 × 19661

9,437,280 has the prime decomposition 2^5 × 3 × 5 × 19661. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 29,728,944

Proper Divisor Sum 20,291,664

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9437269 ← → #9437303

Radix Representation

Decimal	9437280
Binary	100100000000000001100000 (24 bits)
Octal	0o44000140
Hexadecimal	0x900060

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 19,661 39,322 58,983 78,644 98,305 117,966 157,288 196,610 235,932 294,915 314,576 393,220 471,864 589,830 629,152 786,440 943,728 1,179,660 1,572,880 1,887,456 2,359,320 3,145,760 4,718,640 9,437,280

Collatz Trajectory (101 steps to reach 1)

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

9,437,280 4,718,640 2,359,320 1,179,660 589,830 294,915 884,746 442,373 1,327,120 663,560 331,780 165,890 82,945 248,836 124,418 62,209 186,628 93,314 46,657 139,972 69,986 34,993 104,980 52,490 26,245 78,736 39,368 19,684 9,842 4,921 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278

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