3,413,444

2² × 109 × 7829

3,413,444 has digital root 5. The neighboring primes are 3413437 and 3413489; its proper-divisor sum differs from the starting integer by -797,788.

Prime Factor Structure

Factorization String 2^2 × 109 × 7829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,029,100

Proper Divisor Sum 2,615,656

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3413437 ← → #3413489

Radix Representation

Decimal	3413444
Binary	1101000001010111000100 (22 bits)
Octal	0o15012704
Hexadecimal	0x3415C4

Divisor Catalog (12)

1 2 4 109 218 436 7,829 15,658 31,316 853,361 1,706,722 3,413,444

Collatz Trajectory (177 steps to reach 1)

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

3,413,444 1,706,722 853,361 2,560,084 1,280,042 640,021 1,920,064 960,032 480,016 240,008 120,004 60,002 30,001 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688

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