λ
Harmonic Matrix

3,603,704

23 × 13 × 34651
Abundant Even Composite

3,603,704 has digital root 5. The neighboring primes are 3603703 and 3603713; its proper-divisor sum differs from the starting integer by 69,512.

Prime Factor Structure

Factorization String 2^3 × 13 × 34651
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,276,920
Proper Divisor Sum 3,673,216
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3603703 ← → #3603713

Radix Representation

Decimal 3603704
Binary 1101101111110011111000 (22 bits)
Octal 0o15576370
Hexadecimal 0x36FCF8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 34,651 69,302 138,604 277,208 450,463 900,926 1,801,852 3,603,704

Collatz Trajectory (146 steps to reach 1)

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

3,603,704 1,801,852 900,926 450,463 1,351,390 675,695 2,027,086 1,013,543 3,040,630 1,520,315 4,560,946 2,280,473 6,841,420 3,420,710 1,710,355 5,131,066 2,565,533 7,696,600 3,848,300 1,924,150 962,075 2,886,226 1,443,113 4,329,340 2,164,670 1,082,335 3,247,006 1,623,503 4,870,510 2,435,255 7,305,766 3,652,883 10,958,650 5,479,325 16,437,976 8,218,988 4,109,494 2,054,747 6,164,242 3,082,121 9,246,364 4,623,182 2,311,591 6,934,774 3,467,387 10,402,162 5,201,081 15,603,244 7,801,622 3,900,811 11,702,434 5,851,217 17,553,652 8,776,826 4,388,413 13,165,240 6,582,620 3,291,310 1,645,655 4,936,966

More profiles

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