λ
Harmonic Matrix

3,276,351

32 × 13 × 41 × 683
Deficient Odd Composite

3,276,351 has digital root 9. The neighboring primes are 3276349 and 3276397; its proper-divisor sum differs from the starting integer by -1,324,206.

Prime Factor Structure

Factorization String 3^2 × 13 × 41 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,228,496
Proper Divisor Sum 1,952,145
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3276349 ← → #3276397

Radix Representation

Decimal 3276351
Binary 1100011111111000111111 (22 bits)
Octal 0o14377077
Hexadecimal 0x31FE3F

Divisor Catalog (24)

1 3 9 13 39 41 117 123 369 533 683 1,599 2,049 4,797 6,147 8,879 26,637 28,003 79,911 84,009 252,027 364,039 1,092,117 3,276,351

Collatz Trajectory (89 steps to reach 1)

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

3,276,351 9,829,054 4,914,527 14,743,582 7,371,791 22,115,374 11,057,687 33,173,062 16,586,531 49,759,594 24,879,797 74,639,392 37,319,696 18,659,848 9,329,924 4,664,962 2,332,481 6,997,444 3,498,722 1,749,361 5,248,084 2,624,042 1,312,021 3,936,064 1,968,032 984,016 492,008 246,004 123,002 61,501 184,504 92,252 46,126 23,063 69,190 34,595 103,786 51,893 155,680 77,840 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578

More profiles

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