λ
Harmonic Matrix

6,702,317

6702317
Deficient Odd Prime

6,702,317 has digital root 8. The neighboring primes are 6702299 and 6702343; its proper-divisor sum differs from the starting integer by -6,702,316.

Prime Factor Structure

Factorization String 6702317
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,702,318
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6702299 ← → #6702343

Radix Representation

Decimal 6702317
Binary 11001100100010011101101 (23 bits)
Octal 0o31442355
Hexadecimal 0x6644ED

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

6,702,317 20,106,952 10,053,476 5,026,738 2,513,369 7,540,108 3,770,054 1,885,027 5,655,082 2,827,541 8,482,624 4,241,312 2,120,656 1,060,328 530,164 265,082 132,541 397,624 198,812 99,406 49,703 149,110 74,555 223,666 111,833 335,500 167,750 83,875 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524

More profiles

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