λ
Harmonic Matrix

3,413,894

2 × 112 × 14107
Deficient Even Composite

3,413,894 has digital root 5. The neighboring primes are 3413857 and 3413897; its proper-divisor sum differs from the starting integer by -1,198,696.

Prime Factor Structure

Factorization String 2 × 11^2 × 14107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,629,092
Proper Divisor Sum 2,215,198
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3413857 ← → #3413897

Radix Representation

Decimal 3413894
Binary 1101000001011110000110 (22 bits)
Octal 0o15013606
Hexadecimal 0x341786

Divisor Catalog (12)

1 2 11 22 121 242 14,107 28,214 155,177 310,354 1,706,947 3,413,894

Collatz Trajectory (177 steps to reach 1)

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

3,413,894 1,706,947 5,120,842 2,560,421 7,681,264 3,840,632 1,920,316 960,158 480,079 1,440,238 720,119 2,160,358 1,080,179 3,240,538 1,620,269 4,860,808 2,430,404 1,215,202 607,601 1,822,804 911,402 455,701 1,367,104 683,552 341,776 170,888 85,444 42,722 21,361 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 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

More profiles

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