λ
Harmonic Matrix

2,288,882

2 × 1144441
Deficient Even Composite

2,288,882 has digital root 2. The neighboring primes are 2288879 and 2288887; its proper-divisor sum differs from the starting integer by -1,144,438.

Prime Factor Structure

Factorization String 2 × 1144441
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,433,326
Proper Divisor Sum 1,144,444
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2288879 ← → #2288887

Radix Representation

Decimal 2288882
Binary 1000101110110011110010 (22 bits)
Octal 0o10566362
Hexadecimal 0x22ECF2

Divisor Catalog (4)

1 2 1,144,441 2,288,882

Collatz Trajectory (210 steps to reach 1)

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

2,288,882 1,144,441 3,433,324 1,716,662 858,331 2,574,994 1,287,497 3,862,492 1,931,246 965,623 2,896,870 1,448,435 4,345,306 2,172,653 6,517,960 3,258,980 1,629,490 814,745 2,444,236 1,222,118 611,059 1,833,178 916,589 2,749,768 1,374,884 687,442 343,721 1,031,164 515,582 257,791 773,374 386,687 1,160,062 580,031 1,740,094 870,047 2,610,142 1,305,071 3,915,214 1,957,607 5,872,822 2,936,411 8,809,234 4,404,617 13,213,852 6,606,926 3,303,463 9,910,390 4,955,195 14,865,586 7,432,793 22,298,380 11,149,190 5,574,595 16,723,786 8,361,893 25,085,680 12,542,840 6,271,420 3,135,710

More profiles

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