1,683,940

2² × 5 × 269 × 313

1,683,940 factors as 2^2 × 5 × 269 × 313. Its 24 positive divisors give a proper-divisor sum of 1,876,820, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 269 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,560,760

Proper Divisor Sum 1,876,820

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1683887 ← → #1683949

Radix Representation

Decimal	1683940
Binary	110011011000111100100 (21 bits)
Octal	0o6330744
Hexadecimal	0x19B1E4

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

1,683,940 841,970 420,985 1,262,956 631,478 315,739 947,218 473,609 1,420,828 710,414 355,207 1,065,622 532,811 1,598,434 799,217 2,397,652 1,198,826 599,413 1,798,240 899,120 449,560 224,780 112,390 56,195 168,586 84,293 252,880 126,440 63,220 31,610 15,805 47,416 23,708 11,854 5,927 17,782 8,891 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685

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