λ
Harmonic Matrix

9,704,292

22 × 3 × 13 × 62207
Abundant Even Composite

9,704,292 has digital root 6. The neighboring primes are 9704273 and 9704309; its proper-divisor sum differs from the starting integer by 4,976,952.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 62207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,385,536
Proper Divisor Sum 14,681,244
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9704273 ← → #9704309

Radix Representation

Decimal 9704292
Binary 100101000001001101100100 (24 bits)
Octal 0o45011544
Hexadecimal 0x941364

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 62,207 124,414 186,621 248,828 373,242 746,484 808,691 1,617,382 2,426,073 3,234,764 4,852,146 9,704,292

Collatz Trajectory (163 steps to reach 1)

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

9,704,292 4,852,146 2,426,073 7,278,220 3,639,110 1,819,555 5,458,666 2,729,333 8,188,000 4,094,000 2,047,000 1,023,500 511,750 255,875 767,626 383,813 1,151,440 575,720 287,860 143,930 71,965 215,896 107,948 53,974 26,987 80,962 40,481 121,444 60,722 30,361 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286

More profiles

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