λ
Harmonic Matrix

3,449,221

641 × 5381
Deficient Odd Composite

3,449,221 has digital root 7. The neighboring primes are 3449209 and 3449233; its proper-divisor sum differs from the starting integer by -3,443,198.

Prime Factor Structure

Factorization String 641 × 5381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,455,244
Proper Divisor Sum 6,023
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3449209 ← → #3449233

Radix Representation

Decimal 3449221
Binary 1101001010000110000101 (22 bits)
Octal 0o15120605
Hexadecimal 0x34A185

Divisor Catalog (4)

1 641 5,381 3,449,221

Collatz Trajectory (221 steps to reach 1)

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

3,449,221 10,347,664 5,173,832 2,586,916 1,293,458 646,729 1,940,188 970,094 485,047 1,455,142 727,571 2,182,714 1,091,357 3,274,072 1,637,036 818,518 409,259 1,227,778 613,889 1,841,668 920,834 460,417 1,381,252 690,626 345,313 1,035,940 517,970 258,985 776,956 388,478 194,239 582,718 291,359 874,078 437,039 1,311,118 655,559 1,966,678 983,339 2,950,018 1,475,009 4,425,028 2,212,514 1,106,257 3,318,772 1,659,386 829,693 2,489,080 1,244,540 622,270 311,135 933,406 466,703 1,400,110 700,055 2,100,166 1,050,083 3,150,250 1,575,125 4,725,376

More profiles

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