λ
Harmonic Matrix

2,212,694

2 × 11 × 43 × 2339
Deficient Even Composite

2,212,694 has digital root 8. The neighboring primes are 2212673 and 2212699; its proper-divisor sum differs from the starting integer by -718,828.

Prime Factor Structure

Factorization String 2 × 11 × 43 × 2339
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,706,560
Proper Divisor Sum 1,493,866
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2212673 ← → #2212699

Radix Representation

Decimal 2212694
Binary 1000011100001101010110 (22 bits)
Octal 0o10341526
Hexadecimal 0x21C356

Divisor Catalog (16)

1 2 11 22 43 86 473 946 2,339 4,678 25,729 51,458 100,577 201,154 1,106,347 2,212,694

Collatz Trajectory (241 steps to reach 1)

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

2,212,694 1,106,347 3,319,042 1,659,521 4,978,564 2,489,282 1,244,641 3,733,924 1,866,962 933,481 2,800,444 1,400,222 700,111 2,100,334 1,050,167 3,150,502 1,575,251 4,725,754 2,362,877 7,088,632 3,544,316 1,772,158 886,079 2,658,238 1,329,119 3,987,358 1,993,679 5,981,038 2,990,519 8,971,558 4,485,779 13,457,338 6,728,669 20,186,008 10,093,004 5,046,502 2,523,251 7,569,754 3,784,877 11,354,632 5,677,316 2,838,658 1,419,329 4,257,988 2,128,994 1,064,497 3,193,492 1,596,746 798,373 2,395,120 1,197,560 598,780 299,390 149,695 449,086 224,543 673,630 336,815 1,010,446 505,223

More profiles

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