λ
Harmonic Matrix

7,016,589

32 × 779621
Deficient Odd Composite

7,016,589 has digital root 9. The neighboring primes are 7016561 and 7016599; its proper-divisor sum differs from the starting integer by -3,898,092.

Prime Factor Structure

Factorization String 3^2 × 779621
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,135,086
Proper Divisor Sum 3,118,497
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7016561 ← → #7016599

Radix Representation

Decimal 7016589
Binary 11010110001000010001101 (23 bits)
Octal 0o32610215
Hexadecimal 0x6B108D

Divisor Catalog (6)

1 3 9 779,621 2,338,863 7,016,589

Collatz Trajectory (160 steps to reach 1)

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

7,016,589 21,049,768 10,524,884 5,262,442 2,631,221 7,893,664 3,946,832 1,973,416 986,708 493,354 246,677 740,032 370,016 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

More profiles

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