λ
Harmonic Matrix

2,980,802

2 × 11 × 157 × 863
Deficient Even Composite

2,980,802 has digital root 2. The neighboring primes are 2980801 and 2980811; its proper-divisor sum differs from the starting integer by -1,047,172.

Prime Factor Structure

Factorization String 2 × 11 × 157 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,914,432
Proper Divisor Sum 1,933,630
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2980801 ← → #2980811

Radix Representation

Decimal 2980802
Binary 1011010111101111000010 (22 bits)
Octal 0o13275702
Hexadecimal 0x2D7BC2

Divisor Catalog (16)

1 2 11 22 157 314 863 1,726 1,727 3,454 9,493 18,986 135,491 270,982 1,490,401 2,980,802

Collatz Trajectory (213 steps to reach 1)

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

2,980,802 1,490,401 4,471,204 2,235,602 1,117,801 3,353,404 1,676,702 838,351 2,515,054 1,257,527 3,772,582 1,886,291 5,658,874 2,829,437 8,488,312 4,244,156 2,122,078 1,061,039 3,183,118 1,591,559 4,774,678 2,387,339 7,162,018 3,581,009 10,743,028 5,371,514 2,685,757 8,057,272 4,028,636 2,014,318 1,007,159 3,021,478 1,510,739 4,532,218 2,266,109 6,798,328 3,399,164 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608

More profiles

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