λ
Harmonic Matrix

1,608,335

5 × 67 × 4801
Deficient Odd Composite

1,608,335 has digital root 8. The neighboring primes are 1608323 and 1608337; its proper-divisor sum differs from the starting integer by -1,257,454.

Prime Factor Structure

Factorization String 5 × 67 × 4801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,959,216
Proper Divisor Sum 350,881
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1608323 ← → #1608337

Radix Representation

Decimal 1608335
Binary 110001000101010001111 (21 bits)
Octal 0o6105217
Hexadecimal 0x188A8F

Divisor Catalog (8)

1 5 67 335 4,801 24,005 321,667 1,608,335

Collatz Trajectory (145 steps to reach 1)

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

1,608,335 4,825,006 2,412,503 7,237,510 3,618,755 10,856,266 5,428,133 16,284,400 8,142,200 4,071,100 2,035,550 1,017,775 3,053,326 1,526,663 4,579,990 2,289,995 6,869,986 3,434,993 10,304,980 5,152,490 2,576,245 7,728,736 3,864,368 1,932,184 966,092 483,046 241,523 724,570 362,285 1,086,856 543,428 271,714 135,857 407,572 203,786 101,893 305,680 152,840 76,420 38,210 19,105 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216

More profiles

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