9,306,240

2⁷ × 3 × 5 × 37 × 131

9,306,240 has the prime decomposition 2^7 × 3 × 5 × 37 × 131. Its 5 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 37 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 30,697,920

Proper Divisor Sum 21,391,680

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9306239 ← → #9306263

Radix Representation

Decimal	9306240
Binary	100011100000000010000000 (24 bits)
Octal	0o43400200
Hexadecimal	0x8E0080

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 131 148 160 185 192 222 240 262 296 320 370 384 393 444 480 524 555 592 640 655 740 786 888 960 1,048 1,110 1,184 1,310 1,480 1,572 1,776 1,920 1,965 2,096

Collatz Trajectory (75 steps to reach 1)

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

9,306,240 4,653,120 2,326,560 1,163,280 581,640 290,820 145,410 72,705 218,116 109,058 54,529 163,588 81,794 40,897 122,692 61,346 30,673 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

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