944,829

3² × 61 × 1721

944,829 factors as 3^2 × 61 × 1721. Its 12 positive divisors give a proper-divisor sum of 443,103, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^2 × 61 × 1721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,387,932

Proper Divisor Sum 443,103

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #944821 ← → #944833

Radix Representation

Decimal	944829
Binary	11100110101010111101 (20 bits)
Octal	0o3465275
Hexadecimal	0xE6ABD

Divisor Catalog (12)

1 3 9 61 183 549 1,721 5,163 15,489 104,981 314,943 944,829

Collatz Trajectory (108 steps to reach 1)

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

944,829 2,834,488 1,417,244 708,622 354,311 1,062,934 531,467 1,594,402 797,201 2,391,604 1,195,802 597,901 1,793,704 896,852 448,426 224,213 672,640 336,320 168,160 84,080 42,040 21,020 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984

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