λ
Harmonic Matrix

4,794,774

2 × 3 × 619 × 1291
Abundant Even Composite

4,794,774 has digital root 6. The neighboring primes are 4794767 and 4794781; its proper-divisor sum differs from the starting integer by 22,932.

Prime Factor Structure

Factorization String 2 × 3 × 619 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,612,480
Proper Divisor Sum 4,817,706
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4794767 ← → #4794781

Radix Representation

Decimal 4794774
Binary 10010010010100110010110 (23 bits)
Octal 0o22224626
Hexadecimal 0x492996

Divisor Catalog (16)

1 2 3 6 619 1,238 1,291 1,857 2,582 3,714 3,873 7,746 799,129 1,598,258 2,397,387 4,794,774

Collatz Trajectory (206 steps to reach 1)

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

4,794,774 2,397,387 7,192,162 3,596,081 10,788,244 5,394,122 2,697,061 8,091,184 4,045,592 2,022,796 1,011,398 505,699 1,517,098 758,549 2,275,648 1,137,824 568,912 284,456 142,228 71,114 35,557 106,672 53,336 26,668 13,334 6,667 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 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

More profiles

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