λ
Harmonic Matrix

3,021,803

59 × 51217
Deficient Odd Composite

3,021,803 has digital root 8. The neighboring primes are 3021797 and 3021833; its proper-divisor sum differs from the starting integer by -2,970,526.

Prime Factor Structure

Factorization String 59 × 51217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,073,080
Proper Divisor Sum 51,277
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3021797 ← → #3021833

Radix Representation

Decimal 3021803
Binary 1011100001101111101011 (22 bits)
Octal 0o13415753
Hexadecimal 0x2E1BEB

Divisor Catalog (4)

1 59 51,217 3,021,803

Collatz Trajectory (195 steps to reach 1)

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

3,021,803 9,065,410 4,532,705 13,598,116 6,799,058 3,399,529 10,198,588 5,099,294 2,549,647 7,648,942 3,824,471 11,473,414 5,736,707 17,210,122 8,605,061 25,815,184 12,907,592 6,453,796 3,226,898 1,613,449 4,840,348 2,420,174 1,210,087 3,630,262 1,815,131 5,445,394 2,722,697 8,168,092 4,084,046 2,042,023 6,126,070 3,063,035 9,189,106 4,594,553 13,783,660 6,891,830 3,445,915 10,337,746 5,168,873 15,506,620 7,753,310 3,876,655 11,629,966 5,814,983 17,444,950 8,722,475 26,167,426 13,083,713 39,251,140 19,625,570 9,812,785 29,438,356 14,719,178 7,359,589 22,078,768 11,039,384 5,519,692 2,759,846 1,379,923 4,139,770

More profiles

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