λ
Harmonic Matrix

3,641,026

2 × 17 × 107089
Deficient Even Composite

3,641,026 has digital root 4. The neighboring primes are 3640999 and 3641041; its proper-divisor sum differs from the starting integer by -1,499,192.

Prime Factor Structure

Factorization String 2 × 17 × 107089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,782,860
Proper Divisor Sum 2,141,834
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3640999 ← → #3641041

Radix Representation

Decimal 3641026
Binary 1101111000111011000010 (22 bits)
Octal 0o15707302
Hexadecimal 0x378EC2

Divisor Catalog (8)

1 2 17 34 107,089 214,178 1,820,513 3,641,026

Collatz Trajectory (203 steps to reach 1)

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

3,641,026 1,820,513 5,461,540 2,730,770 1,365,385 4,096,156 2,048,078 1,024,039 3,072,118 1,536,059 4,608,178 2,304,089 6,912,268 3,456,134 1,728,067 5,184,202 2,592,101 7,776,304 3,888,152 1,944,076 972,038 486,019 1,458,058 729,029 2,187,088 1,093,544 546,772 273,386 136,693 410,080 205,040 102,520 51,260 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851

More profiles

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