λ
Harmonic Matrix

9,734,721

3 × 3244907
Deficient Odd Composite

9,734,721 has digital root 6. The neighboring primes are 9734719 and 9734729; its proper-divisor sum differs from the starting integer by -6,489,810.

Prime Factor Structure

Factorization String 3 × 3244907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,979,632
Proper Divisor Sum 3,244,911
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9734719 ← → #9734729

Radix Representation

Decimal 9734721
Binary 100101001000101001000001 (24 bits)
Octal 0o45105101
Hexadecimal 0x948A41

Divisor Catalog (4)

1 3 3,244,907 9,734,721

Collatz Trajectory (119 steps to reach 1)

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

9,734,721 29,204,164 14,602,082 7,301,041 21,903,124 10,951,562 5,475,781 16,427,344 8,213,672 4,106,836 2,053,418 1,026,709 3,080,128 1,540,064 770,032 385,016 192,508 96,254 48,127 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554 390,277 1,170,832 585,416 292,708 146,354 73,177 219,532 109,766 54,883 164,650 82,325 246,976 123,488 61,744

More profiles

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