3 × 7 × 11² × 29

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 127,680

Proper Divisor Sum 53,991

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #73681 ← → #73693

1 3 7 11 21 29 33 77 87 121 203 231 319 363 609 847 957 2,233 2,541 3,509 6,699 10,527 24,563 73,689

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

73,689 221,068 110,534 55,267 165,802 82,901 248,704 124,352 62,176 31,088 15,544 7,772 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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