λ
Harmonic Matrix

1,684,271

61 × 27611
Deficient Odd Composite

1,684,271 has digital root 2. The neighboring primes are 1684259 and 1684283; its proper-divisor sum differs from the starting integer by -1,656,598.

Prime Factor Structure

Factorization String 61 × 27611
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,711,944
Proper Divisor Sum 27,673
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1684259 ← → #1684283

Radix Representation

Decimal 1684271
Binary 110011011001100101111 (21 bits)
Octal 0o6331457
Hexadecimal 0x19B32F

Divisor Catalog (4)

1 61 27,611 1,684,271

Collatz Trajectory (132 steps to reach 1)

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

1,684,271 5,052,814 2,526,407 7,579,222 3,789,611 11,368,834 5,684,417 17,053,252 8,526,626 4,263,313 12,789,940 6,394,970 3,197,485 9,592,456 4,796,228 2,398,114 1,199,057 3,597,172 1,798,586 899,293 2,697,880 1,348,940 674,470 337,235 1,011,706 505,853 1,517,560 758,780 379,390 189,695 569,086 284,543 853,630 426,815 1,280,446 640,223 1,920,670 960,335 2,881,006 1,440,503 4,321,510 2,160,755 6,482,266 3,241,133 9,723,400 4,861,700 2,430,850 1,215,425 3,646,276 1,823,138 911,569 2,734,708 1,367,354 683,677 2,051,032 1,025,516 512,758 256,379 769,138 384,569

More profiles

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