λ
Prime Ledger

2,862,292

22 × 31 × 41 × 563
Deficient Even Composite

2,862,292 has the prime decomposition 2^2 × 31 × 41 × 563. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 41 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,306,112
Proper Divisor Sum 2,443,820
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2862289 ← → #2862311

Radix Representation

Decimal 2862292
Binary 1010111010110011010100 (22 bits)
Octal 0o12726324
Hexadecimal 0x2BACD4

Divisor Catalog (24)

1 2 4 31 41 62 82 124 164 563 1,126 1,271 2,252 2,542 5,084 17,453 23,083 34,906 46,166 69,812 92,332 715,573 1,431,146 2,862,292

Collatz Trajectory (76 steps to reach 1)

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

2,862,292 1,431,146 715,573 2,146,720 1,073,360 536,680 268,340 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88

More profiles

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