9,430,736

2⁴ × 7² × 23 × 523

9,430,736 has the prime decomposition 2^4 × 7^2 × 23 × 523. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 23 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 22,221,792

Proper Divisor Sum 12,791,056

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9430723 ← → #9430739

Radix Representation

Decimal	9430736
Binary	100011111110011011010000 (24 bits)
Octal	0o43763320
Hexadecimal	0x8FE6D0

Divisor Catalog (60)

1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 523 644 784 1,046 1,127 1,288 2,092 2,254 2,576 3,661 4,184 4,508 7,322 8,368 9,016 12,029 14,644 18,032 24,058 25,627 29,288 48,116 51,254 58,576 84,203 96,232 102,508 168,406 192,464 205,016 336,812 410,032 589,421 673,624 1,178,842 1,347,248 2,357,684 4,715,368 9,430,736

Collatz Trajectory (225 steps to reach 1)

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

9,430,736 4,715,368 2,357,684 1,178,842 589,421 1,768,264 884,132 442,066 221,033 663,100 331,550 165,775 497,326 248,663 745,990 372,995 1,118,986 559,493 1,678,480 839,240 419,620 209,810 104,905 314,716 157,358 78,679 236,038 118,019 354,058 177,029 531,088 265,544 132,772 66,386 33,193 99,580 49,790 24,895 74,686 37,343 112,030 56,015 168,046 84,023 252,070 126,035 378,106 189,053 567,160 283,580 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910

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