λ
Harmonic Matrix

354,590

2 × 5 × 59 × 601
Deficient Even Composite

354,590 has digital root 8. The neighboring primes are 354587 and 354619; its proper-divisor sum differs from the starting integer by -59,020.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 650,160
Proper Divisor Sum 295,570
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #354587 ← → #354619

Radix Representation

Decimal 354590
Binary 1010110100100011110 (19 bits)
Octal 0o1264436
Hexadecimal 0x5691E

Divisor Catalog (16)

1 2 5 10 59 118 295 590 601 1,202 3,005 6,010 35,459 70,918 177,295 354,590

Collatz Trajectory (122 steps to reach 1)

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

354,590 177,295 531,886 265,943 797,830 398,915 1,196,746 598,373 1,795,120 897,560 448,780 224,390 112,195 336,586 168,293 504,880 252,440 126,220 63,110 31,555 94,666 47,333 142,000 71,000 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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