λ
Harmonic Matrix

2,146,328

23 × 268291
Deficient Even Composite

2,146,328 has digital root 8. The neighboring primes are 2146327 and 2146357; its proper-divisor sum differs from the starting integer by -268,276.

Prime Factor Structure

Factorization String 2^3 × 268291
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,024,380
Proper Divisor Sum 1,878,052
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2146327 ← → #2146357

Radix Representation

Decimal 2146328
Binary 1000001100000000011000 (22 bits)
Octal 0o10140030
Hexadecimal 0x20C018

Divisor Catalog (8)

1 2 4 8 268,291 536,582 1,073,164 2,146,328

Collatz Trajectory (117 steps to reach 1)

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

2,146,328 1,073,164 536,582 268,291 804,874 402,437 1,207,312 603,656 301,828 150,914 75,457 226,372 113,186 56,593 169,780 84,890 42,445 127,336 63,668 31,834 15,917 47,752 23,876 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379

More profiles

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