λ
Harmonic Matrix

3,390,443

7 × 79 × 6131
Deficient Odd Composite

3,390,443 has digital root 8. The neighboring primes are 3390437 and 3390461; its proper-divisor sum differs from the starting integer by -2,856,406.

Prime Factor Structure

Factorization String 7 × 79 × 6131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,924,480
Proper Divisor Sum 534,037
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3390437 ← → #3390461

Radix Representation

Decimal 3390443
Binary 1100111011101111101011 (22 bits)
Octal 0o14735753
Hexadecimal 0x33BBEB

Divisor Catalog (8)

1 7 79 553 6,131 42,917 484,349 3,390,443

Collatz Trajectory (252 steps to reach 1)

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

3,390,443 10,171,330 5,085,665 15,256,996 7,628,498 3,814,249 11,442,748 5,721,374 2,860,687 8,582,062 4,291,031 12,873,094 6,436,547 19,309,642 9,654,821 28,964,464 14,482,232 7,241,116 3,620,558 1,810,279 5,430,838 2,715,419 8,146,258 4,073,129 12,219,388 6,109,694 3,054,847 9,164,542 4,582,271 13,746,814 6,873,407 20,620,222 10,310,111 30,930,334 15,465,167 46,395,502 23,197,751 69,593,254 34,796,627 104,389,882 52,194,941 156,584,824 78,292,412 39,146,206 19,573,103 58,719,310 29,359,655 88,078,966 44,039,483 132,118,450 66,059,225 198,177,676 99,088,838 49,544,419 148,633,258 74,316,629 222,949,888 111,474,944 55,737,472 27,868,736

More profiles

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