λ
Harmonic Matrix

1,605,784

23 × 200723
Deficient Even Composite

1,605,784 has digital root 4. The neighboring primes are 1605767 and 1605811; its proper-divisor sum differs from the starting integer by -200,708.

Prime Factor Structure

Factorization String 2^3 × 200723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,010,860
Proper Divisor Sum 1,405,076
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1605767 ← → #1605811

Radix Representation

Decimal 1605784
Binary 110001000000010011000 (21 bits)
Octal 0o6100230
Hexadecimal 0x188098

Divisor Catalog (8)

1 2 4 8 200,723 401,446 802,892 1,605,784

Collatz Trajectory (70 steps to reach 1)

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

1,605,784 802,892 401,446 200,723 602,170 301,085 903,256 451,628 225,814 112,907 338,722 169,361 508,084 254,042 127,021 381,064 190,532 95,266 47,633 142,900 71,450 35,725 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

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