λ
Harmonic Matrix

9,711,708

22 × 3 × 809309
Abundant Even Composite

9,711,708 has digital root 6. The neighboring primes are 9711659 and 9711733; its proper-divisor sum differs from the starting integer by 3,237,264.

Prime Factor Structure

Factorization String 2^2 × 3 × 809309
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 22,660,680
Proper Divisor Sum 12,948,972
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9711659 ← → #9711733

Radix Representation

Decimal 9711708
Binary 100101000011000001011100 (24 bits)
Octal 0o45030134
Hexadecimal 0x94305C

Divisor Catalog (12)

1 2 3 4 6 12 809,309 1,618,618 2,427,927 3,237,236 4,855,854 9,711,708

Collatz Trajectory (70 steps to reach 1)

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

9,711,708 4,855,854 2,427,927 7,283,782 3,641,891 10,925,674 5,462,837 16,388,512 8,194,256 4,097,128 2,048,564 1,024,282 512,141 1,536,424 768,212 384,106 192,053 576,160 288,080 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

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