λ
Harmonic Matrix

5,768,722

2 × 23 × 125407
Deficient Even Composite

5,768,722 has digital root 1. The neighboring primes are 5768701 and 5768731; its proper-divisor sum differs from the starting integer by -2,508,068.

Prime Factor Structure

Factorization String 2 × 23 × 125407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,029,376
Proper Divisor Sum 3,260,654
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5768701 ← → #5768731

Radix Representation

Decimal 5768722
Binary 10110000000011000010010 (23 bits)
Octal 0o26003022
Hexadecimal 0x580612

Divisor Catalog (8)

1 2 23 46 125,407 250,814 2,884,361 5,768,722

Collatz Trajectory (126 steps to reach 1)

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

5,768,722 2,884,361 8,653,084 4,326,542 2,163,271 6,489,814 3,244,907 9,734,722 4,867,361 14,602,084 7,301,042 3,650,521 10,951,564 5,475,782 2,737,891 8,213,674 4,106,837 12,320,512 6,160,256 3,080,128 1,540,064 770,032 385,016 192,508 96,254 48,127 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108 780,554 390,277 1,170,832 585,416 292,708 146,354 73,177 219,532

More profiles

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