λ
Harmonic Matrix

3,046,384

24 × 11 × 19 × 911
Abundant Even Composite

3,046,384 has digital root 1. The neighboring primes are 3046343 and 3046391; its proper-divisor sum differs from the starting integer by 692,512.

Prime Factor Structure

Factorization String 2^4 × 11 × 19 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,785,280
Proper Divisor Sum 3,738,896
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3046343 ← → #3046391

Radix Representation

Decimal 3046384
Binary 1011100111101111110000 (22 bits)
Octal 0o13475760
Hexadecimal 0x2E7BF0

Divisor Catalog (40)

1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 911 1,672 1,822 3,344 3,644 7,288 10,021 14,576 17,309 20,042 34,618 40,084 69,236 80,168 138,472 160,336 190,399 276,944 380,798 761,596 1,523,192 3,046,384

Collatz Trajectory (81 steps to reach 1)

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

3,046,384 1,523,192 761,596 380,798 190,399 571,198 285,599 856,798 428,399 1,285,198 642,599 1,927,798 963,899 2,891,698 1,445,849 4,337,548 2,168,774 1,084,387 3,253,162 1,626,581 4,879,744 2,439,872 1,219,936 609,968 304,984 152,492 76,246 38,123 114,370 57,185 171,556 85,778 42,889 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221

More profiles

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