9,736,764

2² × 3 × 787 × 1031

9,736,764 has digital root 6. The neighboring primes are 9736747 and 9736777; its proper-divisor sum differs from the starting integer by 3,296,520.

Prime Factor Structure

Factorization String 2^2 × 3 × 787 × 1031

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,770,048

Proper Divisor Sum 13,033,284

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9736747 ← → #9736777

Radix Representation

Decimal	9736764
Binary	100101001001001000111100 (24 bits)
Octal	0o45111074
Hexadecimal	0x94923C

Divisor Catalog (24)

1 2 3 4 6 12 787 1,031 1,574 2,062 2,361 3,093 3,148 4,124 4,722 6,186 9,444 12,372 811,397 1,622,794 2,434,191 3,245,588 4,868,382 9,736,764

Collatz Trajectory (176 steps to reach 1)

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

9,736,764 4,868,382 2,434,191 7,302,574 3,651,287 10,953,862 5,476,931 16,430,794 8,215,397 24,646,192 12,323,096 6,161,548 3,080,774 1,540,387 4,621,162 2,310,581 6,931,744 3,465,872 1,732,936 866,468 433,234 216,617 649,852 324,926 162,463 487,390 243,695 731,086 365,543 1,096,630 548,315 1,644,946 822,473 2,467,420 1,233,710 616,855 1,850,566 925,283 2,775,850 1,387,925 4,163,776 2,081,888 1,040,944 520,472 260,236 130,118 65,059 195,178 97,589 292,768 146,384 73,192 36,596 18,298 9,149 27,448 13,724 6,862 3,431 10,294

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