λ
Harmonic Matrix

1,685,244

22 × 3 × 11 × 17 × 751
Abundant Even Composite

1,685,244 has digital root 3. The neighboring primes are 1685231 and 1685267; its proper-divisor sum differs from the starting integer by 1,177,608.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 17 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,548,096
Proper Divisor Sum 2,862,852
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1685231 ← → #1685267

Radix Representation

Decimal 1685244
Binary 110011011011011111100 (21 bits)
Octal 0o6333374
Hexadecimal 0x19B6FC

Divisor Catalog (48)

1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 751 1,122 1,502 2,244 2,253 3,004 4,506 8,261 9,012 12,767 16,522 24,783 25,534 33,044 38,301 49,566 51,068 76,602 99,132 140,437 153,204 280,874 421,311 561,748 842,622 1,685,244

Collatz Trajectory (207 steps to reach 1)

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

1,685,244 842,622 421,311 1,263,934 631,967 1,895,902 947,951 2,843,854 1,421,927 4,265,782 2,132,891 6,398,674 3,199,337 9,598,012 4,799,006 2,399,503 7,198,510 3,599,255 10,797,766 5,398,883 16,196,650 8,098,325 24,294,976 12,147,488 6,073,744 3,036,872 1,518,436 759,218 379,609 1,138,828 569,414 284,707 854,122 427,061 1,281,184 640,592 320,296 160,148 80,074 40,037 120,112 60,056 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150

More profiles

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