λ
Harmonic Matrix

346,069

17 × 20357
Deficient Odd Composite

346,069 has digital root 1. The neighboring primes are 346051 and 346079; its proper-divisor sum differs from the starting integer by -325,694.

Prime Factor Structure

Factorization String 17 × 20357
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 366,444
Proper Divisor Sum 20,375
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #346051 ← → #346079

Radix Representation

Decimal 346069
Binary 1010100011111010101 (19 bits)
Octal 0o1243725
Hexadecimal 0x547D5

Divisor Catalog (4)

1 17 20,357 346,069

Collatz Trajectory (73 steps to reach 1)

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

346,069 1,038,208 519,104 259,552 129,776 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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