λ
Harmonic Matrix

2,438,952

23 × 3 × 151 × 673
Abundant Even Composite

2,438,952 has digital root 6. The neighboring primes are 2438927 and 2438957; its proper-divisor sum differs from the starting integer by 1,268,976.

Prime Factor Structure

Factorization String 2^3 × 3 × 151 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,146,880
Proper Divisor Sum 3,707,928
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2438927 ← → #2438957

Radix Representation

Decimal 2438952
Binary 1001010011011100101000 (22 bits)
Octal 0o11233450
Hexadecimal 0x253728

Divisor Catalog (32)

1 2 3 4 6 8 12 24 151 302 453 604 673 906 1,208 1,346 1,812 2,019 2,692 3,624 4,038 5,384 8,076 16,152 101,623 203,246 304,869 406,492 609,738 812,984 1,219,476 2,438,952

Collatz Trajectory (42 steps to reach 1)

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

2,438,952 1,219,476 609,738 304,869 914,608 457,304 228,652 114,326 57,163 171,490 85,745 257,236 128,618 64,309 192,928 96,464 48,232 24,116 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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