λ
Harmonic Matrix

9,761,193

32 × 13 × 19 × 4391
Deficient Odd Composite

9,761,193 has digital root 9. The neighboring primes are 9761183 and 9761201; its proper-divisor sum differs from the starting integer by -3,535,506.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 4391
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,986,880
Proper Divisor Sum 6,225,687
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9761183 ← → #9761201

Radix Representation

Decimal 9761193
Binary 100101001111000110101001 (24 bits)
Octal 0o45170651
Hexadecimal 0x94F1A9

Divisor Catalog (24)

1 3 9 13 19 39 57 117 171 247 741 2,223 4,391 13,173 39,519 57,083 83,429 171,249 250,287 513,747 750,861 1,084,577 3,253,731 9,761,193

Collatz Trajectory (220 steps to reach 1)

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

9,761,193 29,283,580 14,641,790 7,320,895 21,962,686 10,981,343 32,944,030 16,472,015 49,416,046 24,708,023 74,124,070 37,062,035 111,186,106 55,593,053 166,779,160 83,389,580 41,694,790 20,847,395 62,542,186 31,271,093 93,813,280 46,906,640 23,453,320 11,726,660 5,863,330 2,931,665 8,794,996 4,397,498 2,198,749 6,596,248 3,298,124 1,649,062 824,531 2,473,594 1,236,797 3,710,392 1,855,196 927,598 463,799 1,391,398 695,699 2,087,098 1,043,549 3,130,648 1,565,324 782,662 391,331 1,173,994 586,997 1,760,992 880,496 440,248 220,124 110,062 55,031 165,094 82,547 247,642 123,821 371,464

More profiles

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