3 × 7² × 11 × 23

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 65,664

Proper Divisor Sum 28,473

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #37189 ← → #37199

1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1,127 1,617 1,771 3,381 5,313 12,397 37,191

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

37,191 111,574 55,787 167,362 83,681 251,044 125,522 62,761 188,284 94,142 47,071 141,214 70,607 211,822 105,911 317,734 158,867 476,602 238,301 714,904 357,452 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956

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