λ
Harmonic Matrix

3,612,785

5 × 11 × 65687
Deficient Odd Composite

3,612,785 has digital root 5. The neighboring primes are 3612781 and 3612787; its proper-divisor sum differs from the starting integer by -2,496,034.

Prime Factor Structure

Factorization String 5 × 11 × 65687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,729,536
Proper Divisor Sum 1,116,751
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3612781 ← → #3612787

Radix Representation

Decimal 3612785
Binary 1101110010000001110001 (22 bits)
Octal 0o15620161
Hexadecimal 0x372071

Divisor Catalog (8)

1 5 11 55 65,687 328,435 722,557 3,612,785

Collatz Trajectory (115 steps to reach 1)

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

3,612,785 10,838,356 5,419,178 2,709,589 8,128,768 4,064,384 2,032,192 1,016,096 508,048 254,024 127,012 63,506 31,753 95,260 47,630 23,815 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

More profiles

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