λ
Harmonic Matrix

680,245

5 × 37 × 3677
Deficient Odd Composite

680,245 has digital root 7. The neighboring primes are 680237 and 680249; its proper-divisor sum differs from the starting integer by -521,906.

Prime Factor Structure

Factorization String 5 × 37 × 3677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 838,584
Proper Divisor Sum 158,339
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #680237 ← → #680249

Radix Representation

Decimal 680245
Binary 10100110000100110101 (20 bits)
Octal 0o2460465
Hexadecimal 0xA6135

Divisor Catalog (8)

1 5 37 185 3,677 18,385 136,049 680,245

Collatz Trajectory (154 steps to reach 1)

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

680,245 2,040,736 1,020,368 510,184 255,092 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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