λ
Harmonic Matrix

9,790,695

32 × 5 × 97 × 2243
Deficient Odd Composite

9,790,695 has digital root 9. The neighboring primes are 9790679 and 9790717; its proper-divisor sum differs from the starting integer by -2,428,254.

Prime Factor Structure

Factorization String 3^2 × 5 × 97 × 2243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,153,136
Proper Divisor Sum 7,362,441
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9790679 ← → #9790717

Radix Representation

Decimal 9790695
Binary 100101010110010011100111 (24 bits)
Octal 0o45262347
Hexadecimal 0x9564E7

Divisor Catalog (24)

1 3 5 9 15 45 97 291 485 873 1,455 2,243 4,365 6,729 11,215 20,187 33,645 100,935 217,571 652,713 1,087,855 1,958,139 3,263,565 9,790,695

Collatz Trajectory (119 steps to reach 1)

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

9,790,695 29,372,086 14,686,043 44,058,130 22,029,065 66,087,196 33,043,598 16,521,799 49,565,398 24,782,699 74,348,098 37,174,049 111,522,148 55,761,074 27,880,537 83,641,612 41,820,806 20,910,403 62,731,210 31,365,605 94,096,816 47,048,408 23,524,204 11,762,102 5,881,051 17,643,154 8,821,577 26,464,732 13,232,366 6,616,183 19,848,550 9,924,275 29,772,826 14,886,413 44,659,240 22,329,620 11,164,810 5,582,405 16,747,216 8,373,608 4,186,804 2,093,402 1,046,701 3,140,104 1,570,052 785,026 392,513 1,177,540 588,770 294,385 883,156 441,578 220,789 662,368 331,184 165,592 82,796 41,398 20,699 62,098

More profiles

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