λ
Harmonic Matrix

3,050,792

23 × 19 × 20071
Deficient Even Composite

3,050,792 has digital root 8. The neighboring primes are 3050791 and 3050797; its proper-divisor sum differs from the starting integer by -79,984.

Prime Factor Structure

Factorization String 2^3 × 19 × 20071
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,021,600
Proper Divisor Sum 2,970,808
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3050791 ← → #3050797

Radix Representation

Decimal 3050792
Binary 1011101000110100101000 (22 bits)
Octal 0o13506450
Hexadecimal 0x2E8D28

Divisor Catalog (16)

1 2 4 8 19 38 76 152 20,071 40,142 80,284 160,568 381,349 762,698 1,525,396 3,050,792

Collatz Trajectory (107 steps to reach 1)

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

3,050,792 1,525,396 762,698 381,349 1,144,048 572,024 286,012 143,006 71,503 214,510 107,255 321,766 160,883 482,650 241,325 723,976 361,988 180,994 90,497 271,492 135,746 67,873 203,620 101,810 50,905 152,716 76,358 38,179 114,538 57,269 171,808 85,904 42,952 21,476 10,738 5,369 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539

More profiles

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