λ
Prime Ledger

2,396,532

22 × 3 × 41 × 4871
Abundant Even Composite

2,396,532 has the prime decomposition 2^2 × 3 × 41 × 4871. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 4871
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,729,472
Proper Divisor Sum 3,332,940
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2396509 ← → #2396533

Radix Representation

Decimal 2396532
Binary 1001001001000101110100 (22 bits)
Octal 0o11110564
Hexadecimal 0x249174

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 4,871 9,742 14,613 19,484 29,226 58,452 199,711 399,422 599,133 798,844 1,198,266 2,396,532

Collatz Trajectory (205 steps to reach 1)

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

2,396,532 1,198,266 599,133 1,797,400 898,700 449,350 224,675 674,026 337,013 1,011,040 505,520 252,760 126,380 63,190 31,595 94,786 47,393 142,180 71,090 35,545 106,636 53,318 26,659 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

More profiles

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