λ
Harmonic Matrix

1,636,785

32 × 5 × 36373
Deficient Odd Composite

1,636,785 has digital root 9. The neighboring primes are 1636781 and 1636787; its proper-divisor sum differs from the starting integer by -436,398.

Prime Factor Structure

Factorization String 3^2 × 5 × 36373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,837,172
Proper Divisor Sum 1,200,387
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1636781 ← → #1636787

Radix Representation

Decimal 1636785
Binary 110001111100110110001 (21 bits)
Octal 0o6174661
Hexadecimal 0x18F9B1

Divisor Catalog (12)

1 3 5 9 15 45 36,373 109,119 181,865 327,357 545,595 1,636,785

Collatz Trajectory (207 steps to reach 1)

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

1,636,785 4,910,356 2,455,178 1,227,589 3,682,768 1,841,384 920,692 460,346 230,173 690,520 345,260 172,630 86,315 258,946 129,473 388,420 194,210 97,105 291,316 145,658 72,829 218,488 109,244 54,622 27,311 81,934 40,967 122,902 61,451 184,354 92,177 276,532 138,266 69,133 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388

More profiles

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