λ
Harmonic Matrix

1,083,136

28 × 4231
Deficient Even Composite

1,083,136 has digital root 4. The neighboring primes are 1083119 and 1083151; its proper-divisor sum differs from the starting integer by -3,720.

Prime Factor Structure

Factorization String 2^8 × 4231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,162,552
Proper Divisor Sum 1,079,416
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1083119 ← → #1083151

Radix Representation

Decimal 1083136
Binary 100001000011100000000 (21 bits)
Octal 0o4103400
Hexadecimal 0x108700

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 4,231 8,462 16,924 33,848 67,696 135,392 270,784 541,568 1,083,136

Collatz Trajectory (46 steps to reach 1)

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

1,083,136 541,568 270,784 135,392 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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