λ
Harmonic Matrix

618,335

5 × 123667
Deficient Odd Composite

618,335 has digital root 8. The neighboring primes are 618329 and 618337; its proper-divisor sum differs from the starting integer by -494,662.

Prime Factor Structure

Factorization String 5 × 123667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 742,008
Proper Divisor Sum 123,673
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #618329 ← → #618337

Radix Representation

Decimal 618335
Binary 10010110111101011111 (20 bits)
Octal 0o2267537
Hexadecimal 0x96F5F

Divisor Catalog (4)

1 5 123,667 618,335

Collatz Trajectory (172 steps to reach 1)

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

618,335 1,855,006 927,503 2,782,510 1,391,255 4,173,766 2,086,883 6,260,650 3,130,325 9,390,976 4,695,488 2,347,744 1,173,872 586,936 293,468 146,734 73,367 220,102 110,051 330,154 165,077 495,232 247,616 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110

More profiles

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