λ
Harmonic Matrix

6,788,051

73 × 92987
Deficient Odd Composite

6,788,051 has digital root 8. The neighboring primes are 6788021 and 6788053; its proper-divisor sum differs from the starting integer by -6,694,990.

Prime Factor Structure

Factorization String 73 × 92987
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,881,112
Proper Divisor Sum 93,061
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6788021 ← → #6788053

Radix Representation

Decimal 6788051
Binary 11001111001001111010011 (23 bits)
Octal 0o31711723
Hexadecimal 0x6793D3

Divisor Catalog (4)

1 73 92,987 6,788,051

Collatz Trajectory (266 steps to reach 1)

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

6,788,051 20,364,154 10,182,077 30,546,232 15,273,116 7,636,558 3,818,279 11,454,838 5,727,419 17,182,258 8,591,129 25,773,388 12,886,694 6,443,347 19,330,042 9,665,021 28,995,064 14,497,532 7,248,766 3,624,383 10,873,150 5,436,575 16,309,726 8,154,863 24,464,590 12,232,295 36,696,886 18,348,443 55,045,330 27,522,665 82,567,996 41,283,998 20,641,999 61,925,998 30,962,999 92,888,998 46,444,499 139,333,498 69,666,749 209,000,248 104,500,124 52,250,062 26,125,031 78,375,094 39,187,547 117,562,642 58,781,321 176,343,964 88,171,982 44,085,991 132,257,974 66,128,987 198,386,962 99,193,481 297,580,444 148,790,222 74,395,111 223,185,334 111,592,667 334,778,002

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