λ
Harmonic Matrix

1,603,302

2 × 3 × 267217
Abundant Even Composite

1,603,302 has digital root 6. The neighboring primes are 1603297 and 1603319; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 267217
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,206,616
Proper Divisor Sum 1,603,314
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1603297 ← → #1603319

Radix Representation

Decimal 1603302
Binary 110000111011011100110 (21 bits)
Octal 0o6073346
Hexadecimal 0x1876E6

Divisor Catalog (8)

1 2 3 6 267,217 534,434 801,651 1,603,302

Collatz Trajectory (70 steps to reach 1)

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

1,603,302 801,651 2,404,954 1,202,477 3,607,432 1,803,716 901,858 450,929 1,352,788 676,394 338,197 1,014,592 507,296 253,648 126,824 63,412 31,706 15,853 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52

More profiles

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