λ
Harmonic Matrix

6,377,081

6377081
Deficient Odd Prime

6,377,081 has digital root 5. The neighboring primes are 6377069 and 6377113; its proper-divisor sum differs from the starting integer by -6,377,080.

Prime Factor Structure

Factorization String 6377081
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,377,082
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6377069 ← → #6377113

Radix Representation

Decimal 6377081
Binary 11000010100111001111001 (23 bits)
Octal 0o30247171
Hexadecimal 0x614E79

Divisor Catalog (2)

Collatz Trajectory (147 steps to reach 1)

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

6,377,081 19,131,244 9,565,622 4,782,811 14,348,434 7,174,217 21,522,652 10,761,326 5,380,663 16,141,990 8,070,995 24,212,986 12,106,493 36,319,480 18,159,740 9,079,870 4,539,935 13,619,806 6,809,903 20,429,710 10,214,855 30,644,566 15,322,283 45,966,850 22,983,425 68,950,276 34,475,138 17,237,569 51,712,708 25,856,354 12,928,177 38,784,532 19,392,266 9,696,133 29,088,400 14,544,200 7,272,100 3,636,050 1,818,025 5,454,076 2,727,038 1,363,519 4,090,558 2,045,279 6,135,838 3,067,919 9,203,758 4,601,879 13,805,638 6,902,819 20,708,458 10,354,229 31,062,688 15,531,344 7,765,672 3,882,836 1,941,418 970,709 2,912,128 1,456,064

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