λ
Harmonic Matrix

306,667

449 × 683
Deficient Odd Composite

306,667 has digital root 1. The neighboring primes are 306661 and 306689; its proper-divisor sum differs from the starting integer by -305,534.

Prime Factor Structure

Factorization String 449 × 683
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 307,800
Proper Divisor Sum 1,133
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #306661 ← → #306689

Radix Representation

Decimal 306667
Binary 1001010110111101011 (19 bits)
Octal 0o1126753
Hexadecimal 0x4ADEB

Divisor Catalog (4)

1 449 683 306,667

Collatz Trajectory (171 steps to reach 1)

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

306,667 920,002 460,001 1,380,004 690,002 345,001 1,035,004 517,502 258,751 776,254 388,127 1,164,382 582,191 1,746,574 873,287 2,619,862 1,309,931 3,929,794 1,964,897 5,894,692 2,947,346 1,473,673 4,421,020 2,210,510 1,105,255 3,315,766 1,657,883 4,973,650 2,486,825 7,460,476 3,730,238 1,865,119 5,595,358 2,797,679 8,393,038 4,196,519 12,589,558 6,294,779 18,884,338 9,442,169 28,326,508 14,163,254 7,081,627 21,244,882 10,622,441 31,867,324 15,933,662 7,966,831 23,900,494 11,950,247 35,850,742 17,925,371 53,776,114 26,888,057 80,664,172 40,332,086 20,166,043 60,498,130 30,249,065 90,747,196

More profiles

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