λ
Harmonic Matrix

2,684,732

22 × 61 × 11003
Deficient Even Composite

2,684,732 has digital root 5. The neighboring primes are 2684711 and 2684743; its proper-divisor sum differs from the starting integer by -593,728.

Prime Factor Structure

Factorization String 2^2 × 61 × 11003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,775,736
Proper Divisor Sum 2,091,004
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2684711 ← → #2684743

Radix Representation

Decimal 2684732
Binary 1010001111011100111100 (22 bits)
Octal 0o12173474
Hexadecimal 0x28F73C

Divisor Catalog (12)

1 2 4 61 122 244 11,003 22,006 44,012 671,183 1,342,366 2,684,732

Collatz Trajectory (94 steps to reach 1)

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

2,684,732 1,342,366 671,183 2,013,550 1,006,775 3,020,326 1,510,163 4,530,490 2,265,245 6,795,736 3,397,868 1,698,934 849,467 2,548,402 1,274,201 3,822,604 1,911,302 955,651 2,866,954 1,433,477 4,300,432 2,150,216 1,075,108 537,554 268,777 806,332 403,166 201,583 604,750 302,375 907,126 453,563 1,360,690 680,345 2,041,036 1,020,518 510,259 1,530,778 765,389 2,296,168 1,148,084 574,042 287,021 861,064 430,532 215,266 107,633 322,900 161,450 80,725 242,176 121,088 60,544 30,272 15,136 7,568 3,784 1,892 946 473

More profiles

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