λ
Harmonic Matrix

6,804,997

6804997
Deficient Odd Prime

6,804,997 has digital root 7. The neighboring primes are 6804953 and 6805013; its proper-divisor sum differs from the starting integer by -6,804,996.

Prime Factor Structure

Factorization String 6804997
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,804,998
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6804953 ← → #6805013

Radix Representation

Decimal 6804997
Binary 11001111101011000000101 (23 bits)
Octal 0o31753005
Hexadecimal 0x67D605

Divisor Catalog (2)

Collatz Trajectory (191 steps to reach 1)

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

6,804,997 20,414,992 10,207,496 5,103,748 2,551,874 1,275,937 3,827,812 1,913,906 956,953 2,870,860 1,435,430 717,715 2,153,146 1,076,573 3,229,720 1,614,860 807,430 403,715 1,211,146 605,573 1,816,720 908,360 454,180 227,090 113,545 340,636 170,318 85,159 255,478 127,739 383,218 191,609 574,828 287,414 143,707 431,122 215,561 646,684 323,342 161,671 485,014 242,507 727,522 363,761 1,091,284 545,642 272,821 818,464 409,232 204,616 102,308 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163

More profiles

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