λ
Harmonic Matrix

770,234

2 × 103 × 3739
Deficient Even Composite

770,234 has digital root 5. The neighboring primes are 770233 and 770239; its proper-divisor sum differs from the starting integer by -373,588.

Prime Factor Structure

Factorization String 2 × 103 × 3739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,166,880
Proper Divisor Sum 396,646
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #770233 ← → #770239

Radix Representation

Decimal 770234
Binary 10111100000010111010 (20 bits)
Octal 0o2740272
Hexadecimal 0xBC0BA

Divisor Catalog (8)

1 2 103 206 3,739 7,478 385,117 770,234

Collatz Trajectory (56 steps to reach 1)

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

770,234 385,117 1,155,352 577,676 288,838 144,419 433,258 216,629 649,888 324,944 162,472 81,236 40,618 20,309 60,928 30,464 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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