λ
Harmonic Matrix

2,982,559

2982559
Deficient Odd Prime

2,982,559 has digital root 4. The neighboring primes are 2982557 and 2982569; its proper-divisor sum differs from the starting integer by -2,982,558.

Prime Factor Structure

Factorization String 2982559
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,982,560
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2982557 ← → #2982569

Radix Representation

Decimal 2982559
Binary 1011011000001010011111 (22 bits)
Octal 0o13301237
Hexadecimal 0x2D829F

Divisor Catalog (2)

1 2,982,559

Collatz Trajectory (164 steps to reach 1)

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

2,982,559 8,947,678 4,473,839 13,421,518 6,710,759 20,132,278 10,066,139 30,198,418 15,099,209 45,297,628 22,648,814 11,324,407 33,973,222 16,986,611 50,959,834 25,479,917 76,439,752 38,219,876 19,109,938 9,554,969 28,664,908 14,332,454 7,166,227 21,498,682 10,749,341 32,248,024 16,124,012 8,062,006 4,031,003 12,093,010 6,046,505 18,139,516 9,069,758 4,534,879 13,604,638 6,802,319 20,406,958 10,203,479 30,610,438 15,305,219 45,915,658 22,957,829 68,873,488 34,436,744 17,218,372 8,609,186 4,304,593 12,913,780 6,456,890 3,228,445 9,685,336 4,842,668 2,421,334 1,210,667 3,632,002 1,816,001 5,448,004 2,724,002 1,362,001 4,086,004

More profiles

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