λ
Harmonic Matrix

3,002,941

317 × 9473
Deficient Odd Composite

3,002,941 has digital root 1. The neighboring primes are 3002933 and 3002953; its proper-divisor sum differs from the starting integer by -2,993,150.

Prime Factor Structure

Factorization String 317 × 9473
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,012,732
Proper Divisor Sum 9,791
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3002933 ← → #3002953

Radix Representation

Decimal 3002941
Binary 1011011101001000111101 (22 bits)
Octal 0o13351075
Hexadecimal 0x2DD23D

Divisor Catalog (4)

1 317 9,473 3,002,941

Collatz Trajectory (138 steps to reach 1)

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

3,002,941 9,008,824 4,504,412 2,252,206 1,126,103 3,378,310 1,689,155 5,067,466 2,533,733 7,601,200 3,800,600 1,900,300 950,150 475,075 1,425,226 712,613 2,137,840 1,068,920 534,460 267,230 133,615 400,846 200,423 601,270 300,635 901,906 450,953 1,352,860 676,430 338,215 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048

More profiles

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