λ
Harmonic Matrix

6,031,809

32 × 7 × 67 × 1429
Deficient Odd Composite

6,031,809 has digital root 9. The neighboring primes are 6031801 and 6031811; its proper-divisor sum differs from the starting integer by -1,950,658.

Prime Factor Structure

Factorization String 3^2 × 7 × 67 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,112,960
Proper Divisor Sum 4,081,151
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6031801 ← → #6031811

Radix Representation

Decimal 6031809
Binary 10111000000100111000001 (23 bits)
Octal 0o27004701
Hexadecimal 0x5C09C1

Divisor Catalog (24)

1 3 7 9 21 63 67 201 469 603 1,407 1,429 4,221 4,287 10,003 12,861 30,009 90,027 95,743 287,229 670,201 861,687 2,010,603 6,031,809

Collatz Trajectory (134 steps to reach 1)

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

6,031,809 18,095,428 9,047,714 4,523,857 13,571,572 6,785,786 3,392,893 10,178,680 5,089,340 2,544,670 1,272,335 3,817,006 1,908,503 5,725,510 2,862,755 8,588,266 4,294,133 12,882,400 6,441,200 3,220,600 1,610,300 805,150 402,575 1,207,726 603,863 1,811,590 905,795 2,717,386 1,358,693 4,076,080 2,038,040 1,019,020 509,510 254,755 764,266 382,133 1,146,400 573,200 286,600 143,300 71,650 35,825 107,476 53,738 26,869 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063

More profiles

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