λ
Harmonic Matrix

356,493

3 × 118831
Deficient Odd Composite

356,493 has digital root 3. The neighboring primes are 356479 and 356501; its proper-divisor sum differs from the starting integer by -237,658.

Prime Factor Structure

Factorization String 3 × 118831
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 475,328
Proper Divisor Sum 118,835
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #356479 ← → #356501

Radix Representation

Decimal 356493
Binary 1010111000010001101 (19 bits)
Octal 0o1270215
Hexadecimal 0x5708D

Divisor Catalog (4)

1 3 118,831 356,493

Collatz Trajectory (135 steps to reach 1)

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

356,493 1,069,480 534,740 267,370 133,685 401,056 200,528 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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