λ
Harmonic Matrix

3,443,283

33 × 127529
Deficient Odd Composite

3,443,283 has digital root 9. The neighboring primes are 3443243 and 3443317; its proper-divisor sum differs from the starting integer by -1,785,366.

Prime Factor Structure

Factorization String 3^3 × 127529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,101,200
Proper Divisor Sum 1,657,917
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3443243 ← → #3443317

Radix Representation

Decimal 3443283
Binary 1101001000101001010011 (22 bits)
Octal 0o15105123
Hexadecimal 0x348A53

Divisor Catalog (8)

1 3 9 27 127,529 382,587 1,147,761 3,443,283

Collatz Trajectory (234 steps to reach 1)

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

3,443,283 10,329,850 5,164,925 15,494,776 7,747,388 3,873,694 1,936,847 5,810,542 2,905,271 8,715,814 4,357,907 13,073,722 6,536,861 19,610,584 9,805,292 4,902,646 2,451,323 7,353,970 3,676,985 11,030,956 5,515,478 2,757,739 8,273,218 4,136,609 12,409,828 6,204,914 3,102,457 9,307,372 4,653,686 2,326,843 6,980,530 3,490,265 10,470,796 5,235,398 2,617,699 7,853,098 3,926,549 11,779,648 5,889,824 2,944,912 1,472,456 736,228 368,114 184,057 552,172 276,086 138,043 414,130 207,065 621,196 310,598 155,299 465,898 232,949 698,848 349,424 174,712 87,356 43,678 21,839

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