λ
Harmonic Matrix

9,618,465

3 × 5 × 19 × 33749
Deficient Odd Composite

9,618,465 has digital root 3. The neighboring primes are 9618457 and 9618491; its proper-divisor sum differs from the starting integer by -3,036,930.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 33749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,200,000
Proper Divisor Sum 6,581,535
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9618457 ← → #9618491

Radix Representation

Decimal 9618465
Binary 100100101100010000100001 (24 bits)
Octal 0o44542041
Hexadecimal 0x92C421

Divisor Catalog (16)

1 3 5 15 19 57 95 285 33,749 101,247 168,745 506,235 641,231 1,923,693 3,206,155 9,618,465

Collatz Trajectory (75 steps to reach 1)

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

9,618,465 28,855,396 14,427,698 7,213,849 21,641,548 10,820,774 5,410,387 16,231,162 8,115,581 24,346,744 12,173,372 6,086,686 3,043,343 9,130,030 4,565,015 13,695,046 6,847,523 20,542,570 10,271,285 30,813,856 15,406,928 7,703,464 3,851,732 1,925,866 962,933 2,888,800 1,444,400 722,200 361,100 180,550 90,275 270,826 135,413 406,240 203,120 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

More profiles

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