λ
Harmonic Matrix

2,406,336

26 × 3 × 83 × 151
Abundant Even Composite

2,406,336 has digital root 6. The neighboring primes are 2406307 and 2406343; its proper-divisor sum differs from the starting integer by 1,673,472.

Prime Factor Structure

Factorization String 2^6 × 3 × 83 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,486,144
Proper Divisor Sum 4,079,808
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2406307 ← → #2406343

Radix Representation

Decimal 2406336
Binary 1001001011011111000000 (22 bits)
Octal 0o11133700
Hexadecimal 0x24B7C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 83 96 151 166 192 249 302 332 453 498 604 664 906 996 1,208 1,328 1,812 1,992 2,416 2,656 3,624 3,984 4,832 5,312 7,248 7,968 9,664 12,533 14,496 15,936 25,066 28,992 37,599 50,132 75,198 100,264 150,396 200,528 300,792 401,056 601,584 802,112 1,203,168 2,406,336

Collatz Trajectory (117 steps to reach 1)

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

2,406,336 1,203,168 601,584 300,792 150,396 75,198 37,599 112,798 56,399 169,198 84,599 253,798 126,899 380,698 190,349 571,048 285,524 142,762 71,381 214,144 107,072 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548

More profiles

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