λ
Prime Ledger

2,522,678

2 × 472 × 571
Deficient Even Composite

2,522,678 has the prime decomposition 2 × 47^2 × 571. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 47^2 × 571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,873,012
Proper Divisor Sum 1,350,334
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2522671 ← → #2522699

Radix Representation

Decimal 2522678
Binary 1001100111111000110110 (22 bits)
Octal 0o11477066
Hexadecimal 0x267E36

Divisor Catalog (12)

1 2 47 94 571 1,142 2,209 4,418 26,837 53,674 1,261,339 2,522,678

Collatz Trajectory (205 steps to reach 1)

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

2,522,678 1,261,339 3,784,018 1,892,009 5,676,028 2,838,014 1,419,007 4,257,022 2,128,511 6,385,534 3,192,767 9,578,302 4,789,151 14,367,454 7,183,727 21,551,182 10,775,591 32,326,774 16,163,387 48,490,162 24,245,081 72,735,244 36,367,622 18,183,811 54,551,434 27,275,717 81,827,152 40,913,576 20,456,788 10,228,394 5,114,197 15,342,592 7,671,296 3,835,648 1,917,824 958,912 479,456 239,728 119,864 59,932 29,966 14,983 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668

More profiles

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