λ
Harmonic Matrix

4,943,268

22 × 34 × 11 × 19 × 73
Abundant Even Composite

4,943,268 has digital root 9. The neighboring primes are 4943261 and 4943269; its proper-divisor sum differs from the starting integer by 5,156,184.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 19 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 15,042,720
Proper Divisor Sum 10,099,452
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4943261 ← → #4943269

Radix Representation

Decimal 4943268
Binary 10010110110110110100100 (23 bits)
Octal 0o22666644
Hexadecimal 0x4B6DA4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 73 76 81 99 108 114 132 146 162 171 198 209 219 228 292 297 324 342 396 418 438 513 594 627 657 684 803 836 876 891 1,026 1,188 1,254 1,314 1,387 1,539 1,606 1,782 1,881 1,971 2,052

Collatz Trajectory (237 steps to reach 1)

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

4,943,268 2,471,634 1,235,817 3,707,452 1,853,726 926,863 2,780,590 1,390,295 4,170,886 2,085,443 6,256,330 3,128,165 9,384,496 4,692,248 2,346,124 1,173,062 586,531 1,759,594 879,797 2,639,392 1,319,696 659,848 329,924 164,962 82,481 247,444 123,722 61,861 185,584 92,792 46,396 23,198 11,599 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228

More profiles

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