λ
Harmonic Matrix

2,993,143

31 × 96553
Deficient Odd Composite

2,993,143 has digital root 4. The neighboring primes are 2993131 and 2993149; its proper-divisor sum differs from the starting integer by -2,896,558.

Prime Factor Structure

Factorization String 31 × 96553
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,089,728
Proper Divisor Sum 96,585
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2993131 ← → #2993149

Radix Representation

Decimal 2993143
Binary 1011011010101111110111 (22 bits)
Octal 0o13325767
Hexadecimal 0x2DABF7

Divisor Catalog (4)

1 31 96,553 2,993,143

Collatz Trajectory (394 steps to reach 1)

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

2,993,143 8,979,430 4,489,715 13,469,146 6,734,573 20,203,720 10,101,860 5,050,930 2,525,465 7,576,396 3,788,198 1,894,099 5,682,298 2,841,149 8,523,448 4,261,724 2,130,862 1,065,431 3,196,294 1,598,147 4,794,442 2,397,221 7,191,664 3,595,832 1,797,916 898,958 449,479 1,348,438 674,219 2,022,658 1,011,329 3,033,988 1,516,994 758,497 2,275,492 1,137,746 568,873 1,706,620 853,310 426,655 1,279,966 639,983 1,919,950 959,975 2,879,926 1,439,963 4,319,890 2,159,945 6,479,836 3,239,918 1,619,959 4,859,878 2,429,939 7,289,818 3,644,909 10,934,728 5,467,364 2,733,682 1,366,841 4,100,524

More profiles

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