λ
Harmonic Matrix

9,456,775

52 × 19 × 43 × 463
Deficient Odd Composite

9,456,775 has digital root 7. The neighboring primes are 9456763 and 9456779; its proper-divisor sum differs from the starting integer by -6,255,630.

Prime Factor Structure

Factorization String 5^2 × 19 × 43 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,657,920
Proper Divisor Sum 3,201,145
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9456763 ← → #9456779

Radix Representation

Decimal 9456775
Binary 100100000100110010000111 (24 bits)
Octal 0o44046207
Hexadecimal 0x904C87

Divisor Catalog (24)

1 5 19 25 43 95 215 463 475 817 1,075 2,315 4,085 8,797 11,575 19,909 20,425 43,985 99,545 219,925 378,271 497,725 1,891,355 9,456,775

Collatz Trajectory (331 steps to reach 1)

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

9,456,775 28,370,326 14,185,163 42,555,490 21,277,745 63,833,236 31,916,618 15,958,309 47,874,928 23,937,464 11,968,732 5,984,366 2,992,183 8,976,550 4,488,275 13,464,826 6,732,413 20,197,240 10,098,620 5,049,310 2,524,655 7,573,966 3,786,983 11,360,950 5,680,475 17,041,426 8,520,713 25,562,140 12,781,070 6,390,535 19,171,606 9,585,803 28,757,410 14,378,705 43,136,116 21,568,058 10,784,029 32,352,088 16,176,044 8,088,022 4,044,011 12,132,034 6,066,017 18,198,052 9,099,026 4,549,513 13,648,540 6,824,270 3,412,135 10,236,406 5,118,203 15,354,610 7,677,305 23,031,916 11,515,958 5,757,979 17,273,938 8,636,969 25,910,908 12,955,454

More profiles

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