9,996,966

2 × 3³ × 7 × 53 × 499

9,996,966 has the prime decomposition 2 × 3^3 × 7 × 53 × 499. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 53 × 499

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 25,920,000

Proper Divisor Sum 15,923,034

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #9996949 ← → #9996979

Radix Representation

Decimal	9996966
Binary	100110001000101010100110 (24 bits)
Octal	0o46105246
Hexadecimal	0x988AA6

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 499 742 954 998 1,113 1,431 1,497 2,226 2,862 2,994 3,339 3,493 4,491 6,678 6,986 8,982 10,017 10,479 13,473 20,034 20,958 26,447 26,946 31,437 52,894 62,874 79,341 94,311 158,682 185,129 188,622 238,023 370,258 476,046 555,387 714,069 1,110,774 1,428,138

Collatz Trajectory (119 steps to reach 1)

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

9,996,966 4,998,483 14,995,450 7,497,725 22,493,176 11,246,588 5,623,294 2,811,647 8,434,942 4,217,471 12,652,414 6,326,207 18,978,622 9,489,311 28,467,934 14,233,967 42,701,902 21,350,951 64,052,854 32,026,427 96,079,282 48,039,641 144,118,924 72,059,462 36,029,731 108,089,194 54,044,597 162,133,792 81,066,896 40,533,448 20,266,724 10,133,362 5,066,681 15,200,044 7,600,022 3,800,011 11,400,034 5,700,017 17,100,052 8,550,026 4,275,013 12,825,040 6,412,520 3,206,260 1,603,130 801,565 2,404,696 1,202,348 601,174 300,587 901,762 450,881 1,352,644 676,322 338,161 1,014,484 507,242 253,621 760,864 380,432

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