λ
Harmonic Matrix

9,788,169

3 × 3262723
Deficient Odd Composite

9,788,169 has digital root 3. The neighboring primes are 9788153 and 9788171; its proper-divisor sum differs from the starting integer by -6,525,442.

Prime Factor Structure

Factorization String 3 × 3262723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,050,896
Proper Divisor Sum 3,262,727
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9788153 ← → #9788171

Radix Representation

Decimal 9788169
Binary 100101010101101100001001 (24 bits)
Octal 0o45255411
Hexadecimal 0x955B09

Divisor Catalog (4)

1 3 3,262,723 9,788,169

Collatz Trajectory (194 steps to reach 1)

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

9,788,169 29,364,508 14,682,254 7,341,127 22,023,382 11,011,691 33,035,074 16,517,537 49,552,612 24,776,306 12,388,153 37,164,460 18,582,230 9,291,115 27,873,346 13,936,673 41,810,020 20,905,010 10,452,505 31,357,516 15,678,758 7,839,379 23,518,138 11,759,069 35,277,208 17,638,604 8,819,302 4,409,651 13,228,954 6,614,477 19,843,432 9,921,716 4,960,858 2,480,429 7,441,288 3,720,644 1,860,322 930,161 2,790,484 1,395,242 697,621 2,092,864 1,046,432 523,216 261,608 130,804 65,402 32,701 98,104 49,052 24,526 12,263 36,790 18,395 55,186 27,593 82,780 41,390 20,695 62,086

More profiles

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