λ
Harmonic Matrix

685,982

2 × 11 × 31181
Deficient Even Composite

685,982 has digital root 2. The neighboring primes are 685973 and 685987; its proper-divisor sum differs from the starting integer by -249,412.

Prime Factor Structure

Factorization String 2 × 11 × 31181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,122,552
Proper Divisor Sum 436,570
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #685973 ← → #685987

Radix Representation

Decimal 685982
Binary 10100111011110011110 (20 bits)
Octal 0o2473636
Hexadecimal 0xA779E

Divisor Catalog (8)

1 2 11 22 31,181 62,362 342,991 685,982

Collatz Trajectory (198 steps to reach 1)

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

685,982 342,991 1,028,974 514,487 1,543,462 771,731 2,315,194 1,157,597 3,472,792 1,736,396 868,198 434,099 1,302,298 651,149 1,953,448 976,724 488,362 244,181 732,544 366,272 183,136 91,568 45,784 22,892 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122

More profiles

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