λ
Harmonic Matrix

9,778,465

5 × 1955693
Deficient Odd Composite

9,778,465 has digital root 1. The neighboring primes are 9778463 and 9778469; its proper-divisor sum differs from the starting integer by -7,822,766.

Prime Factor Structure

Factorization String 5 × 1955693
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,734,164
Proper Divisor Sum 1,955,699
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9778463 ← → #9778469

Radix Representation

Decimal 9778465
Binary 100101010011010100100001 (24 bits)
Octal 0o45232441
Hexadecimal 0x953521

Divisor Catalog (4)

1 5 1,955,693 9,778,465

Collatz Trajectory (114 steps to reach 1)

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

9,778,465 29,335,396 14,667,698 7,333,849 22,001,548 11,000,774 5,500,387 16,501,162 8,250,581 24,751,744 12,375,872 6,187,936 3,093,968 1,546,984 773,492 386,746 193,373 580,120 290,060 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340

More profiles

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