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9,764,706

2 × 3 × 7 × 29 × 8017
Abundant Even Composite

9,764,706 factors as 2 × 3 × 7 × 29 × 8017. Its 32 positive divisors give a proper-divisor sum of 13,327,134, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 8017
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,091,840
Proper Divisor Sum 13,327,134
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9764693 ← → #9764737

Radix Representation

Decimal 9764706
Binary 100101001111111101100010 (24 bits)
Octal 0o45177542
Hexadecimal 0x94FF62

Divisor Catalog (32)

1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1,218 8,017 16,034 24,051 48,102 56,119 112,238 168,357 232,493 336,714 464,986 697,479 1,394,958 1,627,451 3,254,902 4,882,353 9,764,706

Collatz Trajectory (207 steps to reach 1)

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

9,764,706 4,882,353 14,647,060 7,323,530 3,661,765 10,985,296 5,492,648 2,746,324 1,373,162 686,581 2,059,744 1,029,872 514,936 257,468 128,734 64,367 193,102 96,551 289,654 144,827 434,482 217,241 651,724 325,862 162,931 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998 28,999 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626

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