2³ × 11² × 101

Prime Factor Structure

Factorization String 2^3 × 11^2 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 203,490

Proper Divisor Sum 105,722

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #97729 ← → #97771

1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1,111 2,222 4,444 8,888 12,221 24,442 48,884 97,768

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

97,768 48,884 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725

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