9,762,480

2⁴ × 3² × 5 × 7 × 13 × 149

9,762,480 has the prime decomposition 2^4 × 3^2 × 5 × 7 × 13 × 149. Its 6 distinct prime factors produce 240 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 13 × 149

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 40,622,400

Proper Divisor Sum 30,859,920

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9762479 ← → #9762491

Radix Representation

Decimal	9762480
Binary	100101001111011010110000 (24 bits)
Octal	0o45173260
Hexadecimal	0x94F6B0

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 104 105 112 117 120 126 130 140 144 149 156 168 180 182 195 208 210 234 240

Collatz Trajectory (114 steps to reach 1)

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

9,762,480 4,881,240 2,440,620 1,220,310 610,155 1,830,466 915,233 2,745,700 1,372,850 686,425 2,059,276 1,029,638 514,819 1,544,458 772,229 2,316,688 1,158,344 579,172 289,586 144,793 434,380 217,190 108,595 325,786 162,893 488,680 244,340 122,170 61,085 183,256 91,628 45,814 22,907 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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