718,971

3 × 11 × 21787

718,971 factors as 3 × 11 × 21787. Its 8 positive divisors give a proper-divisor sum of 326,853, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 3 × 11 × 21787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,045,824

Proper Divisor Sum 326,853

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #718943 ← → #718973

Radix Representation

Decimal	718971
Binary	10101111100001111011 (20 bits)
Octal	0o2574173
Hexadecimal	0xAF87B

Divisor Catalog (8)

1 3 11 33 21,787 65,361 239,657 718,971

Collatz Trajectory (242 steps to reach 1)

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

718,971 2,156,914 1,078,457 3,235,372 1,617,686 808,843 2,426,530 1,213,265 3,639,796 1,819,898 909,949 2,729,848 1,364,924 682,462 341,231 1,023,694 511,847 1,535,542 767,771 2,303,314 1,151,657 3,454,972 1,727,486 863,743 2,591,230 1,295,615 3,886,846 1,943,423 5,830,270 2,915,135 8,745,406 4,372,703 13,118,110 6,559,055 19,677,166 9,838,583 29,515,750 14,757,875 44,273,626 22,136,813 66,410,440 33,205,220 16,602,610 8,301,305 24,903,916 12,451,958 6,225,979 18,677,938 9,338,969 28,016,908 14,008,454 7,004,227 21,012,682 10,506,341 31,519,024 15,759,512 7,879,756 3,939,878 1,969,939 5,909,818

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