λ
Harmonic Matrix

3,603,098

2 × 1801549
Deficient Even Composite

3,603,098 has digital root 2. The neighboring primes are 3603079 and 3603101; its proper-divisor sum differs from the starting integer by -1,801,546.

Prime Factor Structure

Factorization String 2 × 1801549
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,404,650
Proper Divisor Sum 1,801,552
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3603079 ← → #3603101

Radix Representation

Decimal 3603098
Binary 1101101111101010011010 (22 bits)
Octal 0o15575232
Hexadecimal 0x36FA9A

Divisor Catalog (4)

1 2 1,801,549 3,603,098

Collatz Trajectory (234 steps to reach 1)

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

3,603,098 1,801,549 5,404,648 2,702,324 1,351,162 675,581 2,026,744 1,013,372 506,686 253,343 760,030 380,015 1,140,046 570,023 1,710,070 855,035 2,565,106 1,282,553 3,847,660 1,923,830 961,915 2,885,746 1,442,873 4,328,620 2,164,310 1,082,155 3,246,466 1,623,233 4,869,700 2,434,850 1,217,425 3,652,276 1,826,138 913,069 2,739,208 1,369,604 684,802 342,401 1,027,204 513,602 256,801 770,404 385,202 192,601 577,804 288,902 144,451 433,354 216,677 650,032 325,016 162,508 81,254 40,627 121,882 60,941 182,824 91,412 45,706 22,853

More profiles

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