λ
Harmonic Matrix

600,694

2 × 300347
Deficient Even Composite

600,694 has digital root 7. The neighboring primes are 600689 and 600697; its proper-divisor sum differs from the starting integer by -300,344.

Prime Factor Structure

Factorization String 2 × 300347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 901,044
Proper Divisor Sum 300,350
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #600689 ← → #600697

Radix Representation

Decimal 600694
Binary 10010010101001110110 (20 bits)
Octal 0o2225166
Hexadecimal 0x92A76

Divisor Catalog (4)

1 2 300,347 600,694

Collatz Trajectory (89 steps to reach 1)

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

600,694 300,347 901,042 450,521 1,351,564 675,782 337,891 1,013,674 506,837 1,520,512 760,256 380,128 190,064 95,032 47,516 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814

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