λ
Sigma Notebook

681,942

2 × 3 × 113657
Abundant Even Composite

681,942 is even and not a perfect square. Its factorization is 2 × 3 × 113657 and its 8 divisors sum to 1,363,896.

Prime Factor Structure

Factorization String 2 × 3 × 113657
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,363,896
Proper Divisor Sum 681,954
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #681931 ← → #681943

Radix Representation

Decimal 681942
Binary 10100110011111010110 (20 bits)
Octal 0o2463726
Hexadecimal 0xA67D6

Divisor Catalog (8)

1 2 3 6 113,657 227,314 340,971 681,942

Collatz Trajectory (105 steps to reach 1)

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

681,942 340,971 1,022,914 511,457 1,534,372 767,186 383,593 1,150,780 575,390 287,695 863,086 431,543 1,294,630 647,315 1,941,946 970,973 2,912,920 1,456,460 728,230 364,115 1,092,346 546,173 1,638,520 819,260 409,630 204,815 614,446 307,223 921,670 460,835 1,382,506 691,253 2,073,760 1,036,880 518,440 259,220 129,610 64,805 194,416 97,208 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721

More profiles

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