3 × 7² × 23²

Prime Factor Structure

Factorization String 3 × 7^2 × 23^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 126,084

Proper Divisor Sum 48,321

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #77761 ← → #77773

1 3 7 21 23 49 69 147 161 483 529 1,127 1,587 3,381 3,703 11,109 25,921 77,763

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

77,763 233,290 116,645 349,936 174,968 87,484 43,742 21,871 65,614 32,807 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764

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