λ
Harmonic Matrix

355,738

2 × 83 × 2143
Deficient Even Composite

355,738 has digital root 4. The neighboring primes are 355723 and 355753; its proper-divisor sum differs from the starting integer by -171,188.

Prime Factor Structure

Factorization String 2 × 83 × 2143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 540,288
Proper Divisor Sum 184,550
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #355723 ← → #355753

Radix Representation

Decimal 355738
Binary 1010110110110011010 (19 bits)
Octal 0o1266632
Hexadecimal 0x56D9A

Divisor Catalog (8)

1 2 83 166 2,143 4,286 177,869 355,738

Collatz Trajectory (166 steps to reach 1)

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

355,738 177,869 533,608 266,804 133,402 66,701 200,104 100,052 50,026 25,013 75,040 37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

More profiles

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